{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 离散傅里叶变换（Discrete Fourier Transform）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 离散傅里叶变换公式\n",
    "\n",
    "$$\n",
    "F(u) = \\sum\\limits_{x=0}^{N-1} f(x)e^{-j2\\pi\\frac{ux}{N}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 离散傅里叶逆变换公式\n",
    "\n",
    "$$\n",
    "f(x) = \\frac{1}{N} \\sum\\limits_{u=0}^{N-1} F(u)e^{j2\\pi\\frac{ux}{N}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "'''\n",
    "离散傅里叶变换（Discrete Fourier Transform）\n",
    "img:      二维图像矩阵，灰度图片，可以使用matplotlib库的imread读取图片；\n",
    "forward:  bool，正变换(True)或者逆变换(False)；\n",
    "返回值:   二维图像矩阵，离散傅里叶变换后的图片。\n",
    "'''\n",
    "def discreteFourierTransform(img, forward=True):\n",
    "    h, w = img.shape\n",
    "    Y_tran = np.zeros((h, h), np.complex128)\n",
    "    X_tran = np.zeros((w, w), np.complex128)\n",
    "    if forward == True:\n",
    "        coefficient = -1\n",
    "    else:\n",
    "        coefficient = 1\n",
    "    \n",
    "    for v in range(h):\n",
    "        for y in range(h):\n",
    "            Y_tran[v, y] = np.exp(coefficient * 1j * 2 * np.pi * v * y / h)\n",
    "    for u in range(w):\n",
    "        for x in range(w):\n",
    "            X_tran[x, u] = np.exp(coefficient * 1j * 2 * np.pi * u * x / w)\n",
    "\n",
    "    if forward == True:\n",
    "        return np.matmul(np.matmul(Y_tran, img), X_tran)\n",
    "    else:\n",
    "        return np.matmul(np.matmul(Y_tran, img), X_tran) / h / w"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "img = plt.imread(\"../../src/Lenna.jpg\")\n",
    "img = 0.3 * img[:,:,0] + 0.59 * img[:,:,1] + 0.11 * img[:,:,2]\n",
    "\n",
    "# 傅里叶正变换\n",
    "DFT_img = discreteFourierTransform(img, forward=True)\n",
    "# 傅里叶逆变换\n",
    "IDFT_img = discreteFourierTransform(DFT_img, forward=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rPB6r2WyqUqkon8/r4ODABGcQBBqNRkomk2q1Wur3+8rn8yoUCppOp9rf31cYhtrf3zcDYjgc2n5Bq91uVwcHB2YA7O/vm1Bjv3u9ntE495SkbrerfD5vxiYKo9lsKp1Oazwe27r3ej3t7+8rHo/bcy8tLanf70s65F0MY+QUxtvBwYF9v1araTgc2v3Yj6WlJQ0GA1NWrNFwOFQmkzGDLh6PazAYKAxDM6ibzaYODg5UqVR0cHCgTCaj/f19jcdjxWIx7e/vK5FIaDQaKQgCLS0tmdCH/pGN2WzW9mg6nSqRSCiXy9l6TqdTDQYDxeNx7e/vK5VK2d5gVKRSKXU6ne84b7zbsdBFC10UHSdBF33bBhiTiBKOtyRZFDYT79gT/Xg8tofDc4tavFwPQo9uur+3//0owot+jgWNvsczHrUGDE9YfJf5eiHANfCKgyDQ/v6+PcPBwYEkmcfiv+/nxI+/p/+8vx5CP5VKzTEUc/Rr7Nczuk5HzQEm5F67u7sql8sm5FHyFy9e1PXr13Xjxo054sZgYA2iz8pg3fwcvaeEF8J8bt++rV/7tV/T3t6e/spf+SsP3bf3eoAkwaQYEOPxWJ1Ox4QS69Lr9bS7u6ulpSWdOnVKsVhMnU5HsVhMBwcHtt8IlyAINBgMDNGYTCaGWCGUQN2m06mhLKzv0tKSKdtyuWzGRiqVUrFYtOuDIsGPw+FQ4/FYhUJB0sxYyWQyGg6HZriAMIVhqMFgVmg7GAzMGIVeut2uSqWS9vb2lMlkbE5LS0vqdrva399XpVJRMpk0TxNDRpIZHdD9aDRSKpXSYDAwLxtDajqdqtfrqdPpqFqtmlc/GAzMM8Yr39/f13A4VBiG5rkj5L2863Q6Go/HSiaThi4Nh0OlUimTe8Vi0WgCYY2xlclkJM3oGhrp9XrmrbPm0jzyk81mtb+/r2QyqW63a6hkNptVGIZmiDL/KAqDoQdqMhqNlMlktLOzo1Kp9J1mjXc9FrpooYuOmsN3uy56pAH2MAvbW51MDIHl3/Mb5BeKa3vC49p+I70nDNFHieyozYpuctTS91b64545yoj+dQ8/Pu6zUe/FryWex1Feh19Dv+Ge0QnXcB1CGcPhUOl02phJkkG2/jpHwb6eyB+3Fo1GQzs7O0qlUkbQQRBoZWVFTz31lFqtlvb29hSGoRkMUaPjqPWPPmN0HVDuknTv3j1du3ZNGxsb75jf+z0Q+plMxsJOsVhMg8HA9tzD94STeE7QssFgYAgJCAYGCUaG50cUNKhYOp3WwcGBGXLMqdVqaWlpycJ5w+HQ0Jder6dSqWTeo59/IpEwZMx7vel02pAs5sqcMDokmTGEsddoNOw77XbbjMUwDG3tEomEvQ7tjMdjQ68wjqrVqoVdDw4OtLKyYoggoUEMS+YLQoixAjqFYPXGa7/fN0RsZ2fHvOpOp2PrLsmMI/gOdIwQL3vCb/Zpa2tL1Wp1znDwfEroE95n/T2yl8/n1e/3lU6ntbe3p0KhoEKhMLdfoK7wZrFYtBB2q9X6TrPGux4LXbTQRSdRFz3SAHvU8IuFkPIxUYg8at3jxcEgPl7O74d5DZ4IPJFEYUzpcPEeRthRwodw/GceZpFzXZ47em3PvH5+3or2A2KNzp3hBUP0OT3kTWgHrx3UIplMWm4Kwj/6HNFrHkXc0bkwn8FgoPv376tQKCidTiuTyZh3feXKFW1vb6vZbJqnwZyPWjt/j6iA9Z/n+4PBQHfv3tVrr72m3d1de8bjNLrdriQZStVsNlUoFIzhfR6RN1Amk4kpdEJpnU7H9pm9jsViKhaLFh7E0AmCWX5QIpFQv983uoQec7mcDg4OVK1WjUZ4nx8MFYw80JpEImHhhf39fVPaIDsgMIRNQYP29vZUq9WMHvf391UsFk2gYRiOx2Pl83nLbyFMRtiPvKVEIqF6va7hcGi5UYVCwVCzfD5v6zYcDs1gzOVydg0M19FoZCFgjD5Jhvz1ej1VKhWTUcxvZWXFjElCsIQL0+m00um0rSvCnmuwboQAkYu5XM5Cq4RxMX6RF4Q7MfJ8/lYYzsK10gxtI1TL+rJH0+lU6XTa0K+7d++qUCgYuvrdMBa6aKGLmM93my561wiYt4ijD03Cnydgv3BHbWJ0k/EU+PHWtv+eh2j99/nfx/BhwEd93l/bJy366/FM0fj8Udb6w4gFwkfJecbwz+vX2Yc5jiJOGNWvGb+BflHm/l6eKKL76veB/72QQYn475EQvre3Z2gJn11eXtZTTz2lzc1NbWxsKAxnYRGey3uqfh7eo/OfJVaPgrt+/breeOMNNZtNm+9xM8BAUobDoZaXlw15YZ5A80DjYTjLJ0JRDgYDM8AwEMjfQfmSfC9pTrETCgSRwQicTmd5QIVCwejEhyHhB+4J4gXKQv4WBg15ZYlEwoy1VCqlTCZjqBvPKs1QHoxFnk865F/4bDAYWP5Us9lUsVg0w0g6RJgIqWK0gOaRa1WpVAxlIlwJSgi6hRdMbp3Pj2JNSfBnDtA/dNrv9w0xI6+NELTPPfGIlSQLq4LCYRh5AzqVSpkh7RUdCMhkMrFwMEihX18UYDwe1/b2tsrlsj2fNJMFPnTD3I7DWOiihS46ibrokW0oeNiole6FZBRC9HAvgi264NFN9Na//x7/RxfE/++Zw296lFn8Pfxm+3t4omUORz1T9Pmi343+7e8ZZVq/BlFGizKR/46HTnmNz0MgJBQTcvDPe9S8/Ty9F+gZKrq+GANhGGpnZ0eNRsM8HBTa6dOn9eSTT5qShnH8D8/thVbUm43H40qn02ZsvPHGG3r11VfVbrdN6HpBd1wGzzsYDNRsNg1NAb3K5/NKpVJmVFEFF4vFtLu7a0IsDMO5HBbynOLxuCloGB7Fi5JlTQltsg8gN1R1lUol2wMUM94ihhzKHSMRBMVXGA4GA3W7XTM0USigNO12W+122wy8jY0NyytDcFEtyDOVSiVNJhP1ej11u10Nh0O1Wi2r4KrX64aicV94jhwPviNJrVZL3W5XvV7PKkbJY2PfYrGY0um0isWi1tfXrSCAOVD5CS+Sg9fv99VsNi1Pjj2kenE0GpnCYM6ZTMZogTWH12KxmKGPIKp+jZaWlub2wYdNU6mUKZpWq6XhcKhqtTqneJmLNCsKoTjhuIyFLlroopOoi95VCDK6AH4D/Ge85cqGIAS9tRt9OF5joaIEwXicRek3w3vRRw3vQTAXb6F7y9o/G3M8am2OIlCIChTAw5j+ff+Mfg7RdfLX9h4HSpHnYZ329/ct6dlXnxzlQbFHnrH9Z6Pr6YVhLDZrVbC5uWnhHQiwXC7rqaee0tbWlq5du2bIji/p5T7+up6Q/T0Hg4GuX7+uV1991UJyvAdSc5wGKBQJ0ggD8iNI1OaZMbJ4HsJDKG7yKXxCP8YYNCzNjDA8TxRsLBabg/0RWhgBkuZon1yrwWBg+0V+VC6XUyaTMfqi/JywIvf3Cg0BmcvlbG3i8bghNz4nyqMXIFMgWiA1Puk9CII5VJDQG+tMyIOwBOFBvNhSqWT5Z8Ph0Fp1sL5UCPb7fXU6HXW7XV2+fHmueiwMQ8uRw/Mn1AkyB1oAP9Jigtw7koh5jiAIzDgaj8fKZrOaTCZqtVqq1WqGzGG0IftQPiBxg8FAg8HAKsT8HDDEp9OphUNXVla+Mwzx7zAWumihi06SLnokAha1PtkUNh1h7r3q6XQ6V2Hiv0v4hATfaAUDvXt8lUnUSn+YRem/F2XO6I8fR73mrxeFJqPr4PufeCHsvSGe2VfDMfznj5rPo57De1LMMXr9o+4BU/hn43n8vkXXg3l4r5GcJQh3d3dXjUbD9hKiXl1dNc/D90p6GPSLoMB4iMdn5fWDwUCvvvqq3nzzTateYh8QEsfNAPMJ3MPhUJ1OR61WS7u7u4rH42aEYBR4OqaSkDwl1gkjhRBSEMzCmru7u5Ys7/cbIUS+Fj3JMDZardYcrO4FYCKR0MrKioUxu92uzQVaI/keQweDzgtOkqNREJ7PMUIQiJLUbDYtqR70yMujZDKpfD4vSWq328pms5ZsXygUlM/n7T6gcB4Fic7r4ODAct6KxaIhTXjuzWZTsdgs3y6fz1uFahiGxjughl6QQ6OZTMbWdDQazVWoplIpLS0tWUhxOp2q3W7btdg/z3vkiWF8cW+Ud6vVUjw+67mGsV6pVBSGoYWVKVTAUMSojSYkv99joYsWuuioeXy366JHvhsl+Kj3gRAEMmeCEPNRFrP3SKLWPSNqmfsFic4t+j+E4OHao4b/HPfy3/MDAQdK4YmD63jL96gfCBLEASHhiddDt3znYfOWNJcI7dfOEzcEHmUGv17e0/Hv+TlGvTTW1gs7EIqNjQ3lcjktLy+b0llaWtLly5d18+ZNvfXWW1ayD6H653qYZ9toNPTWW2/ppZdeegdyxH2OWrP3e2SzWTUaDWWzWUNuUPYk4CM86VMDP3lFiOCkcaIPXUmydUCRIwj6/b7lbWHk4WWjbHu9nqE8YThDmPBWMaowCCRZFd9oNLJwH80Wh8Ohut2uIU0IxHa7bchLGIbW00qaGXXFYlGlUskUBd/HWAHJkWTGFVV++Xze1uHcuXOGOmLcgOCFYah2u22fHwwGmk6nlrhOeJdwIEnDhULBkDKqP/v9vlVRgkxRGBAEgRnGmUzG+qqx7sgBihZoM0KBw2g0UrlctrCsD0tLUqfTUSaTeQdKOB6PLXfMN7CFxjD4MOpY/0KhoHa7rcFgoHw+ryAItLe39x5wx7sbC100GwtddLJ00buGCtiU6EWPgiQ9MfPbdyZms9iUMAwtLOK9mqOGt86PurdnIg9zHnUd79F4dIHXvHfl5+Wrao6al/8uc4HwouXkj3oer7yOep/3sPD9ayhfvovHx7wQPp7QjxIAnug9UZI/xHvA2mEYqtlsql6vmyHAtdbX1/Xcc89pb29PjUbDlId/Hv+M0ArK48aNG3r55ZetGiwMQ0OM2B+Y7zgNjCyUYSaTMWVIaImQHsYCvBYEgRkg7XZbxWLRqhGledpFARF+CoJgLncLhIbk+jAM7XVCggiSZrNp4S+qCX3YzyeXD4dDq2RkXyRZ6G17e1vLy8vWhZ0E+CAI1G63LQzHPu/u7ppxwd5ioLF+vV5vLsHW82K9XjdPFUFYKBS0tbVl6BZICRWT/X5flUpFkiyEiFCmUAEDivYT0X5h8L3PzfOyDjQxWkWKkehDX/zN9eFV5kSXfHgc45g2EigFmvwGQWDGPYY+c2Y/t7e3rZghnU5byPW4jYUuWuiik6KLHmmi+Ri3ryyBWBEOCBE21ntq3nLFs/WDBcZ69LAd3/HwsN9oTzDSPJH7mLTfZM+4EIF/zVvs3iLntYdZxFGC8kwBzB2GhxVTCHNPWH4ufg2jz+nXUzrs+eShaB8a4v6UrPu5cv+j4GfW3ROi9zjx9uPxuFn90syY2NjYUKvVsjUHabl48aKefvppBUFgCc0+ps8aozxJTH/99df1zW9+00JnfMavF0xy3Eaj0ZAk62nV7/dN6cKkYRgaHJ7JZNTpdCxExfpxXA2oliQzothXlC7f8/kNoCS9Xm+umo7QE8ZUEASGkkmy/K7JZKKNjQ3bN4xAvEvQIuD6wWBgeUzs78bGhhlvsVjMUCNQtiAIVKlUrC8Z67OysqJCofAOwQZ9HBwcqNFoqN/vq1wuS5rRIc0ZQX62t7ctREfojf5X5MuBDLBPrCOGqyTt7OzMGYjT6ey4H4oPvFeNYcxRSqz70tKSCoWCqtWqhRMJCyJXpcNTDTi1gOR/DD+KOdizMAxVLBaVy+XMgCeUy1FX8C5h43v37imTyVhrktFoZHR7HMZCFy100UnURY/8hLcCPRQIlMhgoaIEwmtRmJeFx6L01/Gb6Yk2SmyemaTDvIeol/GwWDKbzWfwmI9iJP72HZNRWh7+9M/snzfqOSDEmYOfS5TAjhr+dd+3CAv/KLjcQ80IHj8vf11//ahH5qFx7ovQYg/IO6HnE4yBEXH16lXduHFDN2/enPNKvKJGqO7v7+uVV17R66+/bgnEEDchl6hwOm6DsxJpbEo1G4wbrZTLZrOqVqumcCXNnaMIWsK+0ANra2tL+XzeGp/6xqIHBweGbpFXhtdH+4lcLjeX/N5sNi2JtdPpKJlMzp2BiNADSQFtYb7MkT5c8Xhc1WrVhC9tEej5hfHD9zBafCUTYUiELiHYXq9n7RoIM0CT9MDiWfr9vlVzgk5ieNKfbX9/39AiQr38BjH0uSUUD0ynUwtt0v9rMplVKpKHhdyirxlz9nKPogsMbYxVb4DCO/AKhgDrCE/1ej1NJhNrTouhEgSBtaioVqtzbTMITx+XsdBFC110EnXRIw2w6CZKh96Hh1Y9xBsd/jVPJA+DG3nPv+6/6z0LHhYh5GFm3o96B1HL2l8/6gVEvycdCgLPmN7i9/f3c2KzokQUvT7XjI6o9Q/x+nXkMxCDXyP/I2nO64iutRc+DxNCXAth7oUGCnpra0tra2um8PFMT58+reeff157e3tW0ReG4dxZWkEwC/W8+uqr+ta3vmXKDu8FBvYjCmUflwH64nv70KmcOS8tLanZbNpxMktLS1paWjJFj5Kn0SYKm+ahiURCtVpNk8lEpVLJ7gniRnI9xgH/Y0SRkIrXSluKdrutWq02l09F0QD5aBx9k0wmlU6nrRnp3t6eGUrkc7HfeMMgPhxU7XkEQRmPx9VqtSxvy1db+nAf90IREBLgJADOYfRViQhqqiYpMKBa0oerwjC0vDjfiyyXy2kymcx1/E+n0ybEaXEhyQwbjEeeEyPcH98ELYDuNBoNW1sQQ+6N4mHurB1GPhWQGMvQIoYmioo9iIan3u+x0EXz35MWuugk6KJHGmAeouUBmRDWPDdh0b0nFx1+gfmJWusPs7T9wkvzTem8B8Q8maP3kPx9o0TmGekoooeouZb3Rvy1fb4GAtY/I0zjGc+vl59f1NPib/86z4/Sia6fJ2Dm7xnbz9sTuv/xxB79DGEr1tmvS7fb1dbWlgqFgvWXYg6XL1/Wm2++qddee+0d3hHIw7Vr1/T666/PnVVGGOhRTHocRxAEprRBrOr1uiEnKBOQI5g8CAJL8oYfeU4MJunQI4b2ocPBYKBcLmd9xzjk24dn6K/lk9wlWYir2WzOnVWYzWZNQbOf0Zw08qTa7bZWV1cVBIGF+DiY26MOGBGEyshjKhQKRoOdTsfWinWjyz6GBNWEPsTKGZIk/RNim0wmFjolZBiGh3lWyJCjQgmgkOxLLBazpH2MoVQqZUgW38FI9GErwjCEqMfj8dz5nF6mehmLETydzvrKEXqleSv7RcsM7stxRBico9HIzuFMJpPWMgXk8TiMhS6av/9CF50MXfTYIKWfEJ4VG+o76UJoeLcQHFa3Zxi/eD4ZkB8W01/bJ736jcfKlua7GntCfhRR+zh/NCcAJvbWNN/z+Sg0ZCOPw4ct6H1ClZk/w89vHMTomTpK7DyLf27W2idjRkuv/fc8wRLK8PdgT6LeCPvIe8zHKyrvfaIg7927Z93LWetkMqlqtaoXXnhBW1tbFiIhZNZut3Xz5k29+uqr1tHde5fRBEm/x98O/PteDeZG+CqVStlB077fD20eMEy2trZULpcVi8WsMpK8De/1QZ+UYZN3BZ+Q9J5Mzs5z9PA6xpJvQwAUPxgMVCwWTZFxXiLGCu0slpaWLKSKkTSZzJqSLi8vm9cNlN/v91UsFg2xwTCi6z3zBekajUYqFou2hvv7+8ZrID40nmW+GJMggCBnkgxtowACY4RQZaPRMEQwkUgY+ibJqkT94eQIch+GjMViVgkKbYNcMVgX/ub+xWJRjUZDlUrFGrdimAdBYId047Fzbbp/s06gfNPpVGtra1aiT85cGIZ24PZ4PLZigyA4LI44TmOhixa6iO+fFF30rgwwLsQNSfyEifEaUQ5+Ivz4iiQGSgRINDr8RqEUYBBPhHiDEKe3pLk2SoRrIow8pI3VzPchJkIW6XTahK4PyWQyGWsxwJx8ng4HAtP7aW9vzxo8ehTAQ+o8EwLUCwzpnSXGrJf3lFlfT7i859fRr6+Hv32uTRQ2lmQCK7p2zDUIZof97u7uqlqtGuzNml26dElPPvmkXnvtNUkyI+Ptt9/W66+//o7zC33DTb8OeOre8zlOY2dnxw5WJueKnAKf0+Q96+l0asdqgFqNx2NLqCachhHhUTP+9gYHiFQ8Pjs8ulgsSpqFoPr9vnK5nB12zXmK5FcxRww1SYbW0SKBPej1enNnC5IsDnIFOjUcDtVut+2ztHaIfh5FRyUTnfQ9guVDuxgn8FcYhhamZF3pkYbywXjlO9AXRpiXU1wT+YEMJJxJPhqFEayL5x+8dPYbHkfOhGGolZUVCxlzriUKlbwuDHiPCvr2H7wXj8fV6XQs7w3awHjjMHbkgTdGj9NY6KKFLjppuuixBph/KBYCgif/hA3z1igTgmhRPlEYNOqNRK1Gv4BsnPcm/IhuLlZu1GIGAWDzo6XI/rMoDXIt/LzoP+RhZY8W8LyZTEaVSkUrKyu6cOGChsOh6vW67ty5o62tLWMqhCceOtdjLaNQ8VHwtJ+fH54x/Hd4Jr8n0XX0wo094nvsq4d0uS5rube3p/v371t5P4KkWCzqueeeU71e18bGhmKxmF555RVdu3bNCJ799vPz++D/9qjOcRqFQsFaIyQSCatOQ0l7Lx3B7QUIBkc6nVYikbDmmaBJpVLJFIpPwIfXOIsymh9FYjxGDMYc7SZAojgeCKE8Ho+1s7NjfNTpdGyu9OeSDkvSeW5kR6/X02AwUK1WM3rZ3NzU6uqqyZler2e8lUwmVSqVzPgsFouGeJDMj3E4HA7t+KV6va5isajl5WWjE5Tzzs6OVlZW7LlBu8i3wtslHy8MQ21ubmplZWXuAG/2zVegItSTyaTa7bYZCtJh/zKMRx/m80n6/gB3vHaUjs+Nkw7Dz+SeUWTgE+kJO1PhCVISi8Xs+TDEvTw7TmOhixa66KTposcaYN4zC4LACJ3O1AgeFskTHIziN8B7iyibR20e1+K75Jqwed6S5jceCZ+DgNkQDw8jcKOhgXg8bjkdWL0HB4dHiwBRSvP5K5Le8VyTyWTOyyiXy6pUKjp//rxu376ta9euzTWphFnwariHHx669ZAvzxldz6M8D38tTyg+vIVHjII/ytvhGZlj9F7tdlt37txRpVIxbw1lcfbsWX34wx9Wr9fT22+/rTfeeGMOiQAdidKQ93g8bO+9rOMy4vG4yuWyms2mCoWC8YnP4UJxkiQfi8W0t7enXC5n3dmlmWe2srJiCegHBwfa29szRItGmiS/DgYDlUolNRoNyz0rFotmAPjwjG9bQM8xSQbLSzPjDGUeBIFVZyLouXez2ZxLJJcOFRb9pXz4dXl52UKQnU7H5A37jPKKFhT4NZQOc7MkWZjTK1w+s7y8LGnW0LRarUrSXEgJuvPtPFZXV+36JK7zHdaaMCtzwLjj2TFGvfJh76kWBf1E7oJ0gIJJh40vCad45ND3YgON8+gL60rfr2azqdXVVdVqNQuhSu+UOe/3WOiihS46abroXTVNwjPE28Db7Ha7JoyOslijP55I2Cxv7R+1Uf4hvNfi47C8d5QXwjU9suChYQTW8vKyYrGYHfLroVHgS1AE320ZFIHqCWBNH9P2yIZfj2KxqGeffVbr6+t688039eabb9pnIPYoQfrhid1DvJ4B/FpE//fzQRDwvJPJYa8m3mO9+d+/zjV4bs840+lUzWZTt2/ftnPumEM+n9f58+eVy+X02muvWWdyPEafqIlH5wWbnxPX9Imwx2VAA4QR+btYLFoPK/KMMHA4iy+dTmswGMwdNUMCOmvJGYnkvZCMfnBwYEZQq9VSoVAww4S18y0NQNsymYx93oe+aFtQKBR08+ZNQ63wrsNw1l6BthC+WhDkKpFIqFKpaG9vT7FYzJA5npN2EewjyJbfc3jZz4m1Ar3j3ihoWi1Ih0oEhCibzVplIaE5ECkErK9qJIwIEhWLxazCity4RCKher2ufD5vjXbhExAGqjn7/b6haxhbzBXDjnViTCYTyxHzMhhFLR22QEmn09asFaXNM3NeJtdiDY8bkiwtdNFCF50sXfTYPmAQPJt8cHCgXq+nvb09dTod627Nzb3XEYV7ffyehfKbFiVaFtQTNN6KPYCL1xPXZQOi9wG+ZGFqtZp5tCgN70lB9CQSRiumIDzfBBDhKR0e1+ITRnkePh+LxbS8vKxisai1tTV94xvfULvdnssPYs2ilrcnPA/F+tAIhHDUb7/m0bLz6GeOet8zTnR+PB/owf7+vjY2NrS6uqqzZ8/amiQSsx5E/X5fm5ubZgj4H56X+aCE/B74cMJxM8BYPwQJCjsWixnyQV6OF1isL13fCQmCfrRaLUtOh1bIO9jZ2dHS0pLy+byF61ZWVkzJegOEcBv7B2JSKpXM2PL5RBg3ly9ftj5VeN2JRMKOyUG4TadT89h9Gw2OO/L9p0A3MGB8ojwJ/fC3b94qyRA7ngeDtd1ua21tzZADDGDmSm4Z1aDkm3laSyQSll+Gkp9MJpZbhTGFMYvSpP9XuVxWGIZWyEADVAov1tfXba3IMbl//76d90mYSZrRO2ghcsWjbD7fj1w52lyUy2VNp1MrsydB2RsirVZLlUrFwtnHYSx00UIXnURd9K4MMB5gPJ4dn0JjM4SAt/iihMsCcC0Wyse2vVfyMEuZB8ISZkQtbRbIEz7zl2ZVTMViUa1Wy8q8JZki8RvmY/PcC9ibheW5PPzqhSjr5+foEy5Zu2w2q/Pnz6tareprX/uabty4MecFIzz8tfiuf3YvSHnvccMTFExJcrQ/YsUTuN83732Q5Ov3m3kOBgNtbm6qXC7PKY/r16/rc5/7nAkj7uXpgPn5kIFn2DAMTfkdt4GR5ecGw4JEgVaB5oBqEObi/9FoZOf8kfDN9TBuSFyXpK2trbl+NfAORgQoz3Q6tR5Xvv9Up9MxhREEs8qycrms/f197e3tqVwumzIfjUZqNpsql8vq9/va2NgwFI/8KQwP1oIQnTcsoT+UCa0REL4IYP+9fr+vMAzVarXM+PM8F4ahKTTWIZlMWk4NLTJAsDx9oxgx4Px5iqyzDz/6EAn383IC44Fway6Xs8PEof3xeNacttPpqFwuz7XaIG8FWczAUJZkR6SAiEoz2Vev123/u92utfGQZAiqRzSPy1joooUuOom66JGfwOPwUG+n01Gj0VC9XtdkMtHa2pp9HmLE4/CWv7cW/UIQLvGf58d/jmokFsXnMiAkvRXMZnJNhBZKhJJUlA/3YSMozSUngk1ACRCC8EoQgcV3SRBGqfA8/O3zMnyS7sc+9jGtrq7q1Vdf1fb2tmKxmCkJPGaEvBc4noij3h5rimfG8AyCh8XcPLGxt57AuTZ7gnLxkCwjHp+dIL+zs6N8Pm/JyHfu3NHP//zP68aNGxaWQ0h6wk4kEubFe5gdjxB0YDwezwmz4zBo3UDjUujRJ5KTDO8runwiOnuEx+vDZaBaGFFc6+DgQCsrK4bcgPhAGwjkdDqtXq9n/EkDVgwKrp9MJtVsNg3B4gcjKpVKWa5bLpfT2bNnzWjBEMNwwkABnSmVSobEsJfxeNwUK/SIQEylUtbIlnAevI1iQQCDrk2nsyqw9fV1uy9tL6A5/2zILBAnnhPl7/PpWEtoH2SM/fNoB1Vs0ozfoY1oewgQKvYU4woe4Dq+5QRzODg4ULVatbAj6Ig/qJ0mv/Adhiwj2grh/RwLXbTQRXzmJOmiRxpgEBVeJ2GEvb09NZtNFYvFOcI8arCoJKVJMkJCIGHJsvBRz+UoONhb2n4zWHCuh7DhvoVCQbdu3ZrzTllkT5RsLIwDU/Ec5IZIsgOCsdQ9saAAUGY+uZhng4AlGTN96EMf0urqqr7whS9oY2PDWgQgjPF6eA5PjDCD985QSCgWzyz8770YX2UVXX+/R0d5nF4ZcW/um0gktL29rfX1dfX7ff2Tf/JP9Cu/8itz3pmfh/csEFx4FuwTKEg6nTZv+DgN5kvIQJIld/K37/OFEGE96M2E0Gs0GkqlUob2lEolE9DSofDiOqzZdDorWR8MBvbZaDL37u6uJeZyLS8HcrmcGWH5fN6qM2OxWf8sjBLp0EuHx6gS5PV4/LDxLOgFITryqEDpQHwwXP31MCK9EOY8xkqlYogWQr/dbptxNhwO1Ww258I/6+vrZtDt7++r3W7bsUF8jsrLO3fuWHgTeiVvh4pIL8yZCzRBGwVQQQou+PG0ns/nFQSBtQaBLtgnQsfxeNwO5Qbl4hq0rJBmBQigiCgRDEyQ1OMyFrpooYuOWv/vdl302KOIWFQE4t7envb29jSdTs3Se9TA+vUwajSWDNH5TYKAozCwf8+/zkKxsP5afKZYLKper5uHHobhOxSEnwsM4PM6+D8a88ar8hB29POELLwHIx2eEYYCRimeP39e2WxWX/7yl/W1r33NroXnfxTxRV/jGXz83z+j72PkP09eC8yCUok+31E0A1FGIXv2LhaL6etf/7p+/dd/XV/4whfM64SApfleLh4l8qE7hFmpVLIeSN1uV6dPn34sXb6Xg5DTeDyeS76uVCqmsGkF0el0jIFBbEqlklUGeo9ubW1NsdisYas/Cghh5fO28NTxdL33SahRkqFNqVRKe3t7qlQqFq7yNAz9hWFoAhkPm8777Xbb5kx4jApIDA8URhjODpDGCKPyEppl34PgsPISRdJqtSwsOxwOzXgEFVpeXrZ2EDw3+5BMJrW+vm57wFpQPTocDjUYDHTq1ClNp1M74DuRmFV4XrhwwYQucjIIAjtknApRksQHg4Gt0XA4tMpXaNx7/lyX0ONoNDKZ5dcDxItQIqhHMjlrhEvYOplMWrgTHq1Wq3NKhuT8IAiOFZK80EULXXQSddEjDTAWg9yURqOhnZ0dKwFH0EcJzH/fLxSvRYnXv3/UNVjAo4g9SkB+05m/NItr12o1bW5uzjUqZJMg8mh/Hb8RzBUF5J8d4cj9WB+UBPM8KtfAQ6oeEkYJfPzjH9fKyoru3bunGzduaHd3V4VCwZgUr45rcS/WgnCFz0OC+EBGOPoF+Jm5Icz9fI8avHfUPiKUyOnpdDr63Oc+p6985Ss2bxQnStp7q95Q4HnD8DDOjjLc3t5WtVrVJz7xiSPn+H4NFOR0OrWDuH1eAoYHgoVkbuBsECBoz1fuTCYTq3RDyCJ86XZN6wiEr08e5lBZDDPyPKbTqSEn/pxChLLP48LwgYdAtnhmkJj19XU1m02jK4y9yWRiuVCVSsWQHXKgaAoKygd6dv/+fa2srKhSqZixRf5bp9MxpexbV/iw4t7enhmEhHUxVHd3d+15mRMGTqfT0WQy0enTp603m893YY+8zCL5ndAw10KBEcqUZIaaDyfzHMVi0Yw99hH0inCq7ycGLayvr+vevXs6c+aM8RO832g0lE6nLexJiO3dGDXv1VjoooUuOom66JEGGH2GKPPd3t42bxeigUAeNlh0FAibIR0mIEdhXL9wUTjYeyp81i84cLKHgIFtt7e3585yYiF9eTkEivKDACEA6Z1HKHg0wEOdECWvg4J4gcH1fIycsECxWDRk4/Lly9rf39fnP/95/eIv/qLlAPF9mBDlAtTsGcl7C554PeTsc0bYN4jNw/v+nn7PuBaKSDo8RoP3XnvtNb300kum9DnWhfWH0P3cUUKESBKJWYuDcrmswWCgdrutfD6vj3/84/rQhz70SJp8rwfQP8YWe0NeEYKAnk+0gMAAoPM9+VupVEqNRmMu94dqO7pc12o1lUoly5uJlnFLMxqlSvKtt95SqVRSpVJRPB7X3t6eJJmB4cOYhCun08OcMx/Ggs59dRGCifMdpUNa5SxCcpDq9bqhAiSdx+NxS5RnzcjlwtDD8MGQwVhjvb0Swihl3hgdFCGsrKyYMoD+od+1tTXjMZCtaIiR0w4wSKkQHY1Ghga2221Np1M7YBtZKclaV0D3o9FIlUrFeJfCBDqbY3z5/k3QQyqVUrvdVrlctnBzq9UyZV+pVNTr9dRqtew5fajyOIyFLlroopOoix5rgJHk12q11O12j3xQiAzIldd4nb/9ZvgFh8hYGE88nnC9xQxxS4edkfmbDYFgSWRF6GC1+oofCNc3OwRm9UmAvOZ/cy3v7XgYGsZnDcjTIMSEUqU7NULUW/kcPfK93/u9euutt/TZz37WhKkPOfm18GtMkrTfP4aPi3e7XfX7fVOsUaL3uUkoF89IvM57Pr9Akm7duqWvf/3rluwLc/iQCs+BIKIvFPlDCDE6hJPD8/zzz+vZZ581BX9cBs84HA61tbWlIAisTxf7wUHKrDGoT7/fV6PR0JkzZ1QoFEwAw/TeIEPB+iN9QEQkmRGDYUGDz9FopOXlZeM7zl6kDw5HB5HPRLd0vGL4fHNz0/K/MDr6/b62t7e1vLysfD5vyBhJ5cgY9jqRSNjZduPx2A7zRnDCs6Ah5MHhVQ8GAy0tLalQKFhVp0+iRVnncjm7H7wvHZ6J6E8ogNepSPSGHknPYRhqaWnJ6L3f75vxytx9sr3P30GJesUCvxJ+BC3kOj5BGyMUWkulUjYvPk8LE+SsR2I5qJ02DjgDxwkBW+iihS46ibrosSHIyWTWF2ZnZ8eY2nsCTNRDuHzXQ3Q+mdCPKHTrvQWEjN88FjZKYEdd2ycIttttC0VAGB7i5fvcH6FGbo7/rI9deyL292O+UUHAa41GQ9Pp1JQF3oV/Zs+4WOX5fF4/8iM/otu3b+v27dv2eS+MvTeEFxKFl5mPF1zSTNDV63UrYyehMypwYAi8JT+i0DDe197enn77t39bt27dMuECwfMd4FyvoGBacgdQuEEwa0qYSqV05coVvfDCC5YfdJyGnxNr6mkeGkqlUtYKIZfLaWNjw5qtttttY34EAWvG0TOsKUqffLIgmB2uDOwPLfikdugcuveKKpfLaTQa2aHUGG+FQsHCHYQsCV1hvEnShQsXTHl6moaXOR0ARMOffwnaRFJ9LBaz/Yf2PeLE+sCzJNOzThge9PrinEh4BQ8Y3vbGDE1n4QWEM2HjWGx2FBN7PJlM7Jk50gi6JQnbd/JHAbBurD1KhTl6ZYmXzvMOh0Prlwb6OZlMLHTJNcIwnEPY2LsgCKy1iG9x8X6PhS5a6KKTqIseaYDREG53d3eufwzWJ5P0hBklUjwNFuZhcdujvgukD6F7+DVK4J5oJc0lGXJ2Hp6N9PA4vq+QoReRZ0L/Wf88EBBWN0zD8xNSoaIql8tpeXlZpVLJ1hRlJs0fUQEUzCG5ly5d0o//+I/r53/+5y2J03tKWOx+TY9ar+h6Iwza7bYhKblczkJjJFTD5H69o/sgaS6vodvt6rXXXtO1a9fmPDFP9NCU/y4HPWMUoEBhwlgspvPnz+t7vud77Iie6Jze74GQAAkhfyqRmB3ZA7pBqTg5EIVCQVtbWzp//rykWW8ncou63a6KxaIpeM7+o6KS/k80/SQkJc1oAUHOOZEIZ/a12+3OeYPsz2g00tLSkqE50TwO0DLClNyHPDby25gHqBG0wPzJRcOo8EYICotwKIYLKJDvhk74dWlpyYoE6Ac2mUx0//59O5YkDEMrrfdhD8r7+Q3CEIvFVK/XzagNw1kfMowb0D6QAa4JAifJEnbb7bYqlYoZqrzHXFAGPi8GRHA4HNqcmCd0gQxFDnKyAd/F+PahFqoyjxMCttBFC110EnXRIw2wTqejer2uer1uDIlFCCF4j8JvlId7PQzKa9F4Ou/7WC3QKgoDRgASxfr3nghCB4VH3gnX5rPeAmeulIziXXsG8dfm8ygsT5z8htG5V6PRsJyftbU1VavVOaZks/xRKcyNMAJCIJvN6gd+4Ae0s7OjX/qlX7J+Uf5gX+bI83rBw+s+qZA8ATyXZrOpra0t85yj4R/WwjM9v31IB8X45ptv6uWXX5Y0axhJJVa0fQDhGZAOSXPIjs9nSCaTWl1d1eXLl7WysmLIwlHQ9vs5CN8R9vJ9YkB/EFzQFUzOmYUYF/AdhglrB7rjERpJJiiDILCQ1nA4VKPRULVaNeUrySB/hDQ0w3mCHF2Dog+CwAwy+JPXOXqHg7e9V46R41Gr6XRqeVkYVr1ez4yiWCxmymswGFinfOjE58nw3PF43M6klGT3wACaTCZzjRhpp0GYstlsWsPbfD4/dwA6So1QjTdoQM663a4JbHjHK0/2MZ1O69SpU/Y5lG273bbKMJL3PeJGFS0Gd71et47q0+kst6zRaCgIAjUaDS0vL9u6gl56GedzdnK5nO3TcRgLXbTQRSdRFz3WANvd3bWjUPzi+Z+oBcuiRxc/OqIQLv97T5frQGz87Rea+3gLG8gTgQjB40n6nBCsXQQgvXhIkkTBQIAwnIdXuTcClc/v7+9re3tb8Xhcy8vLWltbMwHpEQmY3SdL++f21TEw3A//8A/rzp07+rf/9t/aOWD+yAjmEB1RqNevo/cYaHRI7o5PyMb74Dve64sKqZ2dHb300kva2dkxRmcP/P5RjYfCAe5FiPmQE2emnTt3TisrK/bZqAFyHAbKrdFomBFGngVGBuFH1mQymajRaFguFsgJAgda9MgMwg90jP3xfECuBkaeD4Ow9z4Jle8cHMzOqaN9AsgNQgYeg/74WzpE7qB39p+jiHgdYTadHib3421DdxQd0NyWJHm6xbNGeMjkxcViMUOnMOgQyBiZtMTwLS5ArjAKEc7SfINdjBoS7TlCiHYbkmzdvUEYBIEZft44YI2kwzJ4WnPwXPH4LB+PZq5nzpwxPgjDUPfu3dN4PGvDQaUsxuF0OrWE9lKpZP3CvLyAfo7DWOiihS46ibroke/u7OyoXq/PedF4ZPwcZeF5gmdRWEy8legmwFQQkfcwotdlASACfvBQEFgQrU/Ok+YrX1AwkqwPEJ/xnj3Pyv/SfBWEnz+bs7Ozo9FopFwup/Pnz1tuBj+STEnhKXuvhg0MgmAuLEFn80qloh//8R/Xzs6O7t69a3CtZyKejTWQ3tmnBeL185pMJpYsurKyosFgYD2CPENHhU1UEI1GI7399tu6ceOGJdJKs5wT8lcYVKzBXHye6joEVyIxO8z5woULWl9ft9DV/v6+crmcJYIfp+HDbITFEFS0OMhkMnMhsEKhoEwmY94w6+4NAwwHDDvaTtAUFeHvG4BipETzUmKxmOV4UQTAfaEFUB6OuSEERw4ahhOGIk1fQSt80i88Rl8nSWbgTSYT4z/6WPkKR4zWIAgsIRu+Q3l5fqf6kO9SlUgH8k6no06nYxWQGFEkzWPAsHZ44BiN3EOSIXGtVsuQTfaZAS34434Q+NCydNi8F/rJ5XKW4E+/ND8IKbFvnP8JyoDhRSibsCwGOzKA4objMha6aKGLTqIuengQXNLu7q4JKk+MbEiUGD0TeMuZBfVWKdfzixSNNSOsvSfIwJNhIz0EzHwpofVCjHl5YkilUiZs2FAfM5cOQ0Ae0uV6eGNcbzqdam9vz8I8ly9ftrJyCBviJqzC9T2MPB6P1e/37SgYGGA8HqvX62k0GunSpUv6c3/uz+knf/InzZNFkLLeD/M+8KbxpNg31mE8Hmtra0vb29vWnNInDXsB5q+PUEokErp9+7a+9rWvGZQbhocVP3yfvZFkMX6UtYfpoYN0Oq0zZ84YdA4t5XK5uRyE4zIIYdCYUzqkV7xaDoIm/EXOknSYqI8BgneVSqW0srJiYTwPe5MTxrr6yp5Wq6VWq2Wl/Hh5XoAzKAUn1EUVFnlUtVrNWgTw3XQ6bSGuer1uciGdTiufz1sRAnTNtff399VoNCQdhl44G5OWC9wDFAvjBj7KZA4PAcf482dbxmIxq3oCwaOooVgszvUFg5am06k6nY4Zhvl8XsViUYVCwZQdIV5JlitH0UT0dAP2JQxDq1IlL5D5EfpEXkLn9XpdBwcHqtfrFk5iXhhWNHgtFotzBjsyBLTV0yJyXtIcQntcxkIXLXTRSdRFj0TAELYecjtq+NchauloOFE6JG5vgfuyVZgCi9Z/l4WLMhjfISxAg8npdGqE72PhfM8n8AH5QvQk4EahaxgKYsdSxlumL8qHPvQhgy8haixr1tcLR173QoU58roXDCjbarWqT37yk8rn8/pn/+yfWTiK5GsSuqP75z1B/5pnrk6no7t371pMnt9+X/C0CKdQkdLv9/WlL31Jm5ublkPhQzC8hieF4cB7Xqix37VaTefPn9f6+rqFo/DkffL2cRreSIBmlpaW5hAoqgYRWuxBr9cz5b23t2eGFS0XQEZApDAIYrGYGXwckM0agnaMRqO5pHfoF0GEAAKNi8Vi1ucmHp+1KyiVSmYYokBoiZHNZnXx4kXzYBGy3MOjBrFYTMViUd1u145aWllZUTabtaR/BD2ViYTuqLr0xhV8n0qlLMziw4zxeFzVatW8fQwOqiPJ9QqCwIxMEEWUGiEW1g9+88ny0mEPK48iSDK5QZEBMiKfz88pXHgG45Xh809oZMs1stmsVTGyn4lEYu5Qb/L6UMSSTGnQcPe4jIUuWuiik6iLHmmeASFycx7Sx569Be29j+hC8tv/eOsQlIDXvZDy0PjDfoCjCRXgoSMIPXFzDzxVhBMLBirBOXV+Dfy9vGcjyUIYxWJRV69etQ7BeFAQkmdIPHA8aO4X9apAPrg3zyLJBO3HPvYx/diP/Zh5CCQL44VFIVp+e+GC8PWwerPZ1O7urvb29tTpdOaqQPy+st78fumll3Tnzh1Dbwi7+H3Hu0BgxWIxS172HiQhp4sXL+rKlSvWE4v1IHnZe4DHbYDeIOTwbAlHst4cVSTJ0Bx4jJyiTqczJ7SgR/LCGo2G0Tcd9vku+8y5jfAe90aR8z1oA4SG/cQwAb3Be8fQotoKhS/J4HmEHMajz+2iIhF50Gw2tb+/b5VQHqmZTmd9eGg6yw8IG56yDxNihNCVn/w6jKzd3V3jHR/KxINHoFNFhsJCUHsjljUE0QqCYC6XBGQlFovZAdM+nCkdHttEKNofNyXJXkcWsT4YUSjHdrutTCaj1dVV66dFaJqwErKz2+0eq6OIFrpooYtOoi56rIvjLXpvaTJxHvgoYj+K4Pnbf99vBN4wjOThS389hlc+tVpNlUpFt2/fnhNsHq5moQkJ+fCNdHjaOgyAImSzPMxLo8e9vT3F43GdPXtWp0+fVqlUkiQLFXkvgzgzr/meK9GBVxVNEmQveMZUKmV9Zf7AH/gD+tKXvqQ333zT7kX5ufdY/FpG9437st8kb1LJB1pCUjICy5fx7u3t6Zvf/OYcEsBa+5AABI/QwRDw1XF4TRcvXtSlS5dUKpVMkROq8wncURp5v4fPfwKBkWY00G63VSwWlc/n7WgdmN3nTMHUrBfCxed+ITgkqVKpmIFTrVatAgtaI/+M39Is3Mj5kuRmofzZE+7nwzMYXKBQ5XJZ9+7dM6EP2odgJOfNG3VevuTzeXse5uAFJvwK34PiJZNJWxc84MFgoGKxaGHdTqczl+vh8+mSyaQajYYdf5TNZs0IwajBeCP/BEMVown6BWHkvh7Bwehhrwiz8ozT6dQayWKo+Yo8jDP2E1QQ5AbZ1Wq17FpeqRFm8ooQQ1I6DK/5UPRxGAtdtNBFJ00XPdIAA+71ROe9Zbw+BPDDRhT+xVOQ5nvc8D/39hY4c2E+HoLlQU+fPq1kMqlms2kWLN4FIRJe872CPMGz+Ag6wj0wFjAqQpZy+/Pnz+vMmTN2ELDvQO7PpAOi9N6XF3wwO2uNsvUxfuaNB41nAQLxx//4H9ff+3t/T/fv3zdF9zjI1wsVDzPj8TebTQXBYULl6dOnValUlE6n1el0rANwPB5Xu93WF7/4RW1vbxuKALriCR4FhjJiffH2IPhYLKYzZ87o+eefn0NdMAj8fkmP7u/zfgyEHbSOBxWGoSqVivb29uaSSumn4xNyOY8R2qXCzhtqeKYcWYNCJu+EBGa6njebTUmHipbjd9rttp2lGDX6isXiXOIxlX2cOxkEs0aeTz75pJrN5pxxxDPz/Owh3jfomfc2OUPRJ/VDS4RXMP6QI2EYGg1zTiXnWvryf8KpiUTCvFjQhlQqZcm+dNf3CBhhu3K5rHQ6PWd8gfhx5BDVi8iuUqlkxQq0A/B84nuXERqaTCYWVvTyECObtSDUGwSBGXEo8nh8dsRUqVSy5HzWFbno5b03VN/vsdBFC110EnXRIw0wCDEKF8KcEKyHUxGI0aQ6/xO9Jt/h895DkA6FJoSJQAJSBVa8cOGCXn31VSOW8Xg8FzeHgLkGoQc2yxMSjOQ7aUsymBavI5/P6+rVqzp16pTF1wk1IQgRighRqre8xc7wa+r/51rkkRDq4Fm8h/bhD39YL774ov75P//nczAxAuAomN4nP/JZD6tLsi7U3/d936ff9/t+n3UGp69MNpvV3bt39cUvflG3bt2yPSJ5m7CMpy0YCwInLg9SEovFtLy8rCtXrpgyJoxGToyfK+twnAatEuLxuCk9qg0xTjKZjCXi7+/vq1QqKR6PW3UPCh/0yBsEnn7J/YAvPIJSKpXM0BsOh2YIoOxpv4DRQV8u77GORiOjM5At6fDAXwQSZw9CI7SIgBbH49kxQ97zh9Z9xSZhs1gsZgYjXq/v28Waes8TQw/+SyaTRmNBMOu9Bi3R64x2EqlUytCvcrn8DqWczWatxxaoGAoBGocmCWN6JQbNUz1Kqw1JKhaLRic0xKXq0SfQQ0++OzgoAW1DoAMaw5KfxnP4JpPMvdfrqVwuH6t8yoUuWuiik6iLHgsV+MWJXoz3/CZFIVwPNfJZiJrN9A3LIGK8QP8+3iEChiTi4XCoU6dOKZvNqtVqzXko3AthDfERs8Ubicfj1quIxF2UH0TQbrftaISDgwOdOXNGL7zwgvVToVNuvV63JGYUDQqC7tgQsd8oDwl7RQqhR70SH4oB4WC+3//932/PA5N6IoZBojkVXJt1Yb0IZfz0T/+0/uSf/JO6ePGiBoOB9RG6ePGiLl++rBdeeEHSrGwcQeUPa8VggAG8YIXgMTjG47GKxaJeeOEFXb582ZJL8e7z+fyRcPmjPOD3YyQSCTtIW5IpfipsUKbs4+rqqtG1dNjZHSEM3I6y9aEoKuIQwPV63ZqW4u0SKsBbA0khIbzVaqlYLBp9kq+FgIKPGo2G0RdzQ6iD6hDC9CE0ELzl5WX1er05eQBPY+hJs7PnaJOBACUHDl5BmUmH5wYSFmSNkQ28J8l4rNPpmPGFsRg9940qMLzbcrlshQGElev1uqbTqXZ3d9VqtYwG2J9ut6vRaGTH0Uynsxy2crlse7OxsWHPT2IwSm5nZ8f4EvmEkmU92AvojaIJkEVJ1qB2f3/fDl6HDiuVismu4zQWumihi06aLnqkAeYJFqJkUT1U6ome//G82VB+fG4Ei+mZIPp5TxjcF6Xh4dwnnnhirkwWa9t/hjAIniCCCq+D3j8k2EJs+/v7JjDx2q9evaqLFy+qWCwaFNzr9Uxp8n8YhlpZWTGGII7Pc3mija6NNB+rZn1hWO8peEZJJBK6fPmynnnmGQt/sH/e+ztqvfG4wnB2VAWfPXPmjP78n//z+hN/4k+o1+tpc3NTmUxGtVpNq6urqlQqisViWllZ0Q/+4A9aorB/Dp5X0lzuDPvkq1LCcJbMeP78eV25csXQIUnWzgAP3dOpp83jMgiBIXy9ouS9MDw8T5CKJ2iZZqW+gSYw+c7OjiWagrTwvaWlJTvjDx5AUUizPfBnvxEe4zBmuthLhwoLlAxFQZsH6BFe9lV0lLz7xpI8e61Ws6alIAPIBPgKwwSPPpfLWZsL+Jw5NZtNNRoN+7506OGyRvB8GIZaXl5WpVKxcxmlw0PLOVbJy8BkMml8Tl4Nhu10OqsCI8TBXnEt8kQQ9vCcN6QSiYT1DmJfUaKgK8g/b3xRJYmXD7/TmoL9BW1dWVmxz9JlnzU7ODiw/LHjMha6aKGLTqIuetd1xj5GDTGzcH74RYWhPcFChDwYf/P+UbAvG4OF6RdvPB6rVCppbW1N29vbkg77n2DB8h2egw32VUKEAFqtlsbjWX+jRCJhORd48qdPn9alS5e0trZm8XTvVZAPggdAIi8Mx5qQ2+Ebt0HcCFUUp6S5NfOCkeRHBAHhrkKhoE9+8pO6d++eHdzL2uBpHMUIkszLB379+Mc/rj/9p/+0nnzySd27d0+DwUDnz5+30BQeojTLufmhH/ohLS8vm2ftUQeenXvD7D7ZFe/r3Llzeu655yw/h0OnqQxEYUYh7ONmgFHqT+gNNIoWEz5MwvqkUimtr6/bWpBrFQSBVVcRtsOD83lHOzs7ltNFXynCi3iz8C+5VyTXUwhQq9XsEPBWq6VqtWoCd3d3V6dOnVIqldKNGzfM4IPvo4nnIF3SjB7S6bRqtdqcF839CUsSGoX3i8XiHN1gkPrXMIhApTjgG1QPpQWdEDIBlYTPCO2hLJl/PB63eXPsEntAqId8s+ga81o+n7fjqehtRt8wcsMmk4kdMZTNZtVut7W3t6cLFy7MzZ3PYqDyPMyNvEJoBYOMnDnfXgPUErl13HIpGQtdtNBFJ0UXPdIA8wvhf3sC9XAhr/E/DxFlhGiyJwTK+1GrmL8RMAhFwiz04cBj9WXg9EbyeREIRKBgIEYseRKVEY50yV5fX9cLL7xgAm8wGLwjJ6fb7Vop/3g8Vr1e1/r6uhEZxOGTeX2uDoTP8xL28TAtg+94xTadzkp1q9WqPvCBD+ijH/2oXn/99SMJ3Ct/iBEYfTyeVdj91E/9lH7mZ35G2WxWN27cUDqd1hNPPGF9qGBIDACMgLW1NTUaDVO2KEzPuCgentFfq1Ao6OrVqzp9+rSFXzAgSCpnTbzwPY4ImEeOoBfOgIRPpMOclslkolarZd4wPIXw8t5hKpWydgrLy8v27FS+FYtFQ9Mwajz/9Pt9C1HyGsne5E2FYah8Pq92u21GVqVSMUHMYeHT6dSS0dlTDCrK0NknnzNDuCwMDztM+2NHoF1vJOK1S7L5Ewq4d+/enCKBxrwyxSjx/FSpVAyt8Mnx8EMymVS327WeaD7sKcmUGKgWPOYTf0FZyO9LJBJ2asHm5qZdA35gjzKZjJ544gkFQWC0xL3J16PIAnkEnbCHyDloDUOZa+H5s8a0FDgOY6GLFrroJOqiRxpgXjFEvSE2J8oYHp6E8I+K7ZIU5wV/NNESiD3KLFimXIcmk9JhKSkNJBGGLBAE5OF23qd7rT8ItdVqaTgc6oknntCZM2cUhrP+LkDA2WxW5XLZEmnpMYLVvrq6al6O97LCMDSPm/silNl4LzwZCAvCEzwLwoFQDkL9R37kR6xfCsTtlT7rQ34KZfpPPPGE/tgf+2P6w3/4D2s0Gun27duqVCpaX1+XNN97CIbGq0wkEiqXyxZOQsESamENeN+X7YKanD17Vk8++aShGTChT9b2noYf0f/f74EhE4vFTKlz1EsYhup0OlbFgxeKoMBYI6RBCJMqJgws1hb6J2RFTlaz2ZwLW+Elc9QRIUL2jxYI3lCkZ1AsFrMqTfKzptOpTp06ZUYeYcxSqWRGGLTdbDatPN5XGyaTSW1ubmplZUXFYlGj0Ug7OztWeTkYDLS9vW0JsKwroUU87rW1NUmH7R3G47HK5bIJTZLWx+Oxdnd3JcnWidd9B2zQA1AnSbYO8I90mECMceaTfcmvS6VSZqQ2m007biqfz5tRiEJg/wh9kt/nG0zG4/E5/qrX6yYDUDiSLI8tmTw8TBzeZH99wnGxWLQquuMwFrpooYtOoi56rAEW9QQ85O9v4r0NvuMJ31u6CEsI3TODv6/3PDxU6aHbWCym1dVVUxCS5haG+C5Hh0gy5UGlA98hPIPHShn9mTNndPr0afve9va2eY9hOMu5KRQKpsDYTIQxjMXm+qopKsn4H4HNs0GYED95BZIsr8MLFM9c6XRap0+f1k/8xE/opZdemoPgo/tMLk8YhvrYxz6mP/pH/6iefvppbW5uan9/X+fOnbP14/lQJLFYzJIQIWiYgQRywnAodq+YEGRUfq2treny5cuqVCrW14lO7zC498J4Zu95HKeBoAXBQtB3Oh0TEEEQaGNjw/I4QDB8fxs6xePl4i3Df77BJwd0E4KLHm/iw18I6clkYqgHwgbFjSeNtwnvcG/CmMlkUvl83qo8PQ9znVqtZh3/oQ1ky9ra2lyfLekwqZ5wBnlM3uCM5vH4nLPpdGqIFkYOh26TH8NRR6wFirNUKlmuDDLG8yphPhAC0DgQksnksBAB+QJfrKys2DNQSJFKpdRut43HfDsQWmr0ej1Vq1VJMyUI0iFpzoBAmRFC7XQ6qtVqkjQnXzz6wnWohD0uY6GLFrroJOqix/YB8zChX1iEnQ8H+MnwWe+5+OHLeT0MHN1Ehr+mL3VNJpOqVCoaDAaWrOqJhqRWEg8RlJ5JfdUWm0Li87lz53T27FkTpLxerVZNaOL1w6QIsWj/H1+lRjIwghI4mOf0OQMwfbfb1cbGhlKplJXdMth0X1HHAcYXLlxQpVLRb//2b1uJLiEpINVut6uzZ8/q9/2+36cXX3xR8Xhc9+7dUyqV0pkzZ97hOcDItFHwAgmPjH30Jb14gz7W7hGWfD6vZ555RpcuXZJ0eEQGsfYozHvUOG4IGIYSnq4kq3QCjZhMJqYcJVloDqRsOp1aBY8/dgglS24RkL80y4FotVrK5/NzuQ70h4LeMQhRSFQBQtcHBweWRwYaRH+pXC43d6QPvcBSqZShdXiSXE+SoVLj8djQMmn++BGO5CFBttlsmuEEn0qHycC+wa2kuWpKUDNog7MFk8mkhY0mk4nljiHAWX9ycwgXwXsgSqyf76tE3g4hRVBJiiWQQ/BkEARmBGG8cixSr9dTv99XuVy2e8GP/X7f5i8dHqoML4JqhOF8rptXVBgHKLFms2lo33EYC1200EUnURc91gDjRv6GEKsv1fSWX/TznqClQ+/LW4z+855hou/zUMCVeNvb29tzoQwIhYRbCJDQAIIOmNR/BoV55swZnTt3zgT1xsaGhQw2Nze1vLxsHraHpH0J/XA4NCYYDocaDAZW+YViYZ2pdOMZgyAwxuh2u9rd3VUiMTt93Qsa/mYglLDYQSguX76sa9euWX4BQjeZTOoHfuAHdObMGetCjvdVq9XmwiasvVc2XgjhrbVarbk95oe5IgyYNzkz6+vreuqpp1QqlUwQ+ARV1sYTtg8TeDo5LgPF6isDEQQowTCc5T9ls1nrd0W1om9aikDvdruGSDUaDRMKGAeeBn3/oSAITHBhHECfJGYHQWD0yf7i4SLQMErYe+9R+xwWFI9XQoPBQDs7O+Zxc3AvSqdYLFq/K66VTqe1vr5uHi9IHSgTxiPP2u12lUqlzPiUDs90o5rS8yIhC8KUHl30PczIy4OW+a40a0HBWnEtOmWHYai9vT3rt0VVrCRLIMYQR7bF44cnFRBqJomeMCWJ33S3Jyep0+moXC4rn8/b+nEIO+FMDMFWq2WoCHOATo/LWOiihS46ibroXXFZ1IrDUvQK5WGMwd9RT8LDdtFJ+41kUVhU6RB2HA6HOnv2rAlToFsIHWgSgUu5PUnCKEaELPPjvLRyuWylvOSt0H+IPklUagVBYP2SsJRrtZp5+OT1FAoFY6xYLGaVcAgPEmoRjuPx2GL/Pn+FBF7W2K+fZwBfAVOr1d6Bupw5c0bnz59XuVzWaDSyXKFsNmsVdXyevQdW9p42BkQ8Putj1O12bd9RwCg0D4sz4vG4Tp8+rWeeeUbLy8uGFoAeROkjSpNRJjhOA8FDLzCESKfTsV5YGDgk1LdaLdtvSRYmicViVsnXbrfNaOt0OpYzxF4At3c6HRWLRUOnut2uQejQIzla7E0QBNawVZJ5p17A4UHH43FDYTC6fFiAcCLhoSA4POAaL51GsPAlqBl0SuhtOp1at3o8W7xVjJxsNmvzwFCj3F+az/eg1QY8RAgYOkVG7e/va3V11dbKJ/QSwgAxOjg40N7enhUnYBQlEok5ZJA1pD2FV4DxeFz379/X6uqqEomEtShBCSIbkAUcrD0YDKwTODKHggQKHyhYwFgEOSBXiLU4To1YGQtdtNBFJ0kXPdYAi16MB/Qlp0cRPETP6/5vD/eieGCCqAfCBmKpSoeeLCW6XM9XYXBPclz89wn/EHKg1BtCWl9ft2oing/GCoJZB208bSx36bCMHuJst9sKw1mSNUoDb4BNR9nAiDyXDy3haeMp8BrE5D1nv3agJT5PhCNo6JmyvLysRGJW8nxwMGs+6YWDzysi2RjPjTmjLKGNO3fuWOUW+4GiIvzhq9CA3S9duqTLly/PhVP4TBQi9nTnBWOU3o7DoAkie4agxOs9OJgdVyPJ8qTwLGl2SlXPYDCwEBl7kslk1G63Jc3K0FdWViwZO5/PW97WYDBQqVSa87oJZWAEpFIpO4y72+2aUmfdKb9GsKMElpaWbM/r9bpWVlYMwet0OlY5iFGId46yoGxeOkyMJrQA0tdutzWZTNTpdCwUSOIwa8UaeyQJ/oDWfEEEPZZoIouRSe4UMsHTPwJckiF+2Wx2rtVErVabO1AdNIx5UagAWgmqFYahzWl5edlQSekQ7cOoZN1AMuBFDOBut2v9x3hG1hAlBZ/5/BfW9biNhS5a6KKTposea4B5qNVbe1iMPq7MQJBghbLwTJzr+DCFZxYv4KIPhhULpLm6ujpX4QAjUXHk80/YPDxBeuDw+el0qkqlYrknkuwcOCrFlpeXFY/HrTptf39fzWZz7sR6rs1RJuTk4GESOvDEwnPBbAhZ3/mcZ8Kr4gdCwstlIJw85FqtVrW0tGRwbq/Xs6qOUqlk642SZp8QeH7gIYXh4Rl5mUxG169ft/Xz6+8FCGgBHni1WtXly5dVq9UsRIZXyzN6OvR/RwWk92aOw8Dzg/ag31wuZ+e0wUPso3QonCUZjZIojuEGCgONEBqEFzCQ8GwxnHxoj/1gXryPgQSKBupEKIMKSYQ+DURBV6rVqur1uuLxWR8waBNDZWlpSb1ezwQ8CA/PDE9iQOAF7+/vq9PpzPXgyWazVjlJ2BEFQkdyjBxobjgcWujC532ByhGuJAQIgkHelc/TCoLAWgagKFh3wjsYVmEYqlQq2fwymYzlt3HvRGJ2DFOpVJpL4pdkpfHwaiqVsgOKpUMZKclkLwn+GIHMB970bRFQZtDhcRkLXbTQRSdNFz3SAPOWHTeCOX3MnQf0ryPMsE65FkQftRS9V+Dh3qMegAdMpVJz5eXJ5OzMNDxOrokg5Ic508GWMMD58+e1tLRkHjbhExJSIX4InLwLSlLH48MjH6jiqNVq9jx4JcD8vEY4A0+F50EgoEwoGSfOj/eCd8KaQ+Dk1OAJAX37hF+eC+GPIowSFc/H/hBeQonjPbRaLb355ptz8XQ8B5gTZQ89ZTIZq+7xsLwXiMzD0+RRdOF/H5cBzUNTXlEgGEmMpwFm9JnhGTwy9g9Bx7WhqSCYhRqXlpas6ieRSFhFIYJzMBhY5RS0Wa/XVSqVrPEpBsR0OqtSpEycw3/ZY8Jb0qHRiSKCdkDFfIiF76EoJpOJisWihRAJoWI0Ed5BUUmysB6IHYZNJpPR6dOn586t3N/ft5AmhilGFeuAgvJhDubOfqAcUfKEZJPJ5Jz84jrksGHgMmcUCnJLkoVa2XNQOVBQ5AYKhc+CpmazWUmy9fDev0cQ+v2+qtXqXPIyMoBrHIex0EULXXQSddG3HYJkwaOxTc8cHqr1VqL/bBSe5Xv8H43T+79ZbMIlEIU0s2J92AWLGQbgs5Sx0sMIK9zHwwuFgnZ2dqzyAeIcjWbnymWzWeulhAKp1+uSZHkvCDryP3hWn4w9Ho+tKo218XDuZDIxaNo/B0RIoibKDE8dgRwEgVZWVmxNCHmQo+ATM31FiPcwEVyJREK9Xs+SefkuzHLr1i3dvn3bmNN7K9E8IJ4hl8uZwAFNgUmZB57Fw+jzYe8fl4HXFe0FBapDEjtrRR4JhhJ7zd+5XM7o1eejSIf5Wihl1pTjSBBU5HhBqwcHB2o0GqbsY7GY9vb2VCqVLEFY0pwhQwgEA49nISxHQuv+/uzMwWq1aoIZ5QgywfOQT+abSEKr6+vr5mH7ZHryQEjmZ07khoFwoBwI/0G/zWbTPkNhxHg8trDswcGBms2myuWytra2LOzJ/qFkUKiJREKbm5uqVqt2f1AoZESn09GpU6dMqfg+RoSHvWGEcQo/JpNJK6SIx+Nqt9sqFosql8tzRge8wToh46bTqfGZNB9ahT+P01joooUuOmm66NtGwDzcy+seDvRwJBvoYWEIO0r4/nNcMxaLGSFErU2sUjw8FooqI0lzlWN+M/EodnZ27OgIFCBl95lMRjdv3rRz51AUkiz+TniE7wDV0oeFz5KnwiYSq/fCgOv4/i2JRMLCJoSEUCK0AcDbgtglmdcjSSsrK9bDpNFoKJ1O21EzDOYIQfp5sc6Ebg4ODrS5uWnCvlQqaXNz0zy43/qt31Kz2bT+NXgOPpzhPddUKqWzZ89agjOK23smzOOocZSncdwMMWBsDItYLGZnNEoybxIam0wm5unSoBO0h1CXz+PBmMvlctrb27PPI2QQtiTTYgyCCBDuqlQqWllZsXyy8XhsoTef88K8fcL6ZDIxT5zPcBwOz5vJZCwkGovFrAlqrVazFhsgBqBfCE7Om5T0jtYShDEJy0E/W1tbZtil02nrw0bZOwYir5Po7JOgt7e3zSv3OXLkh1G8QF8zZAV5figt9oPcMow/jEaUMPKBHm7cG1mGIgvD0D5DGwJkDPSGscae+1CTPyOSEG0mk5nLIWOfj8NY6KKFLjqJuujbQsDwOPzFIXCIFsLiPRiZ60Rjt374mHz03n7gPXsoUDoMZ3grHOEH/Ig3MBgMrDqkXC6r2Wxafkw2m9X169dVrVZtM7DeEaSFQsHCGMxpMploeXnZwiOSTPATxvH9hvBiIbQwDC3Xg2fz4SqInvmQy8G6+WNlCoWCVlZWrPw8FovZmWJekKCEPfriPWIvkKbTqXZ3d+1Yh4ODA7399tuKx+PWc+o3f/M3LZ9E0hzMzrPADKVSSaurqzp//rzB7zAxAgb68dUnUfqIEv5xM8B4bvYPgUEeE14robbRaKRCoTAXWoG+fN4QKA7Py96Px2NTyqBPfo9Bpbwgp4P2ZDKxPCGPJCGkeF2SoWwIXW9o+vYQm5ubViFGLzGMAjrpS4cIHnltPAtJ/zxfIpHQ7u6ulpaWlE6nVS6Xdf/+fR0cHJgh0+l0tLKyImlGJzs7O5YnQ6gDecUaMCcvW0hyR6bxfWQhOXl48FzL5+4kEgndvXt3Toj7/D/Wirwy8oByuZwZtYSKpPkWCeT6SJrjGfLTULLeyOdkBWjTP4/n9+OWS7nQRQtddNJ00WMRMG7sCQ7rNLpQ/I0Fy/d9XN5f2//vY73+ftEH8ETtGYt7kVQHROlj0wgVCJ4qB2LdzOPWrVsqlUomJFEI3W7XDtptt9uW7IsiJSyBR81GwnxUnPkETUJECBQELXkadD3HG4F5iJtzHYR5IjHrrI6CJq/IhxoIiZAUSSjICxDW3v+0Wi1tbGwoCGalz7u7u9rZ2dEzzzyjyWSi1157Ta+++upcXk4YhpYP5JM+k8lZ08Inn3xS1Wp1rs8Kc8ET98L1YYLwOA+fn0MuB3A3HjE8RcsAX7VDx2kMBxQ1uRIYdD4MgIHiG3GSs4XQgzZJ7sfDhU8Q6igLEBf6diUSCeu3hUInXIinnE6nrdUG7SEODg4sTFAul23OIALwKNen4hFUaTQaGVKA4iiXy5pMJlYsQEI84ZrpdGqGDAdew2vwmzdofJUVoVXkAGiGDxH7/B14mlyadDqtCxcuzIUPSaxHxiDHaM9BQjFhqVQqZbID3icJGsNXkvFms9lUu9226tNGo2H8DyKBkYuC2d7etvMwOTnguIyFLlroopOoix6LgPlEOk+Y5EsgiHwyKgt2VMyUBfFKxzMA3/HwsH9QrOSDgwNVKpW5hfH5DTAem0poA8FVrVaVyWTmjocZDodqNBpWLcRAucRiMYNIaZ4IcfuOw0EQzCUfe0ZGaNMIDyWFEARxQGlIsjg6a+U7DNMvJRabHYOB5wWxF4tF8+zxdvCgvKfooXjvDXtE4P79+5pMZuedNRoNO9x1Op2qUCjom9/8pik5hDt7gaKUZOGOWq2ms2fPWs4Qa+w9Dk87UUHJZ6Cj4zpo10C/HknmlWGMgKJE9571YD+B+qF18oYILdAvin2gX5APoXBdDKVcLmchPirhyFlhLvQq43w638tqd3d3rsqLxG6EG/zLnEh2R4H5kKMvRMAQZWAI+UaMJBsHQWAGLXRMdSBerM/5whDih0R3HyJCWUHPeMDdbldPPPGEKSU+51EjerVJsiRo0C3fUFU6lIlBEKher5s8xeir1+tzeVvIMkJBXj5i5EszVNOjDOS1oMgxhhn8H4ahGcLHaSx00UIXnTRd9EgDjJv6C3Lj6OR4T3qntYqA9bF1/zAQrL+vv1cU5oOIICwfwwU2Jd+GhnNUbuVyOZ09e1bp9PxZZxB8uVy2g3mZhw+vZLPZOe+URGFvWQPfeoEG08XjcW1tbdmzEYJCSNI0DuHN2pD3QlIuDNPv97W+vm4IAEKb/I4gCCx844UQBOn3xwsmFCdz3tjYUKPRUCZzeBQM556RS/P5z3/emJF7Abd7jyeZTGp5eVnnzp0zL84/21HQLq9FmcDTZZRejsuANlgrj6LQZR0EC6EFggRD+95A0mHnbxRus9nU8vKy0RJIjvd+uTfXh94I4+G5Sof71O/3bW6gdzwPyhyECiSs3+9bHgZhUoT2eDzrKwTaIsn4iKNBOFiYfBbOlcRAIkEZJCsMQwsXSDNvFw+fakpK3JEZoAaEMHq9nqFxPBOoXSwWs95o0C6nD6AsUajFYtEMPtBDeCtq4GAsMz96iZHfQu82qjkJz0SNRvaSeUiyJGdvZNGwlnvv7+9bp3yvqFF0xymUv9BFC110EnXRu+qED1N7T40HwQv2w0+M//3CHvW+dNjULvog0YeHEAgvkFtC7BvP27/ebDaVSCS0vLxsxMVnOGfNn5kGY5GkiHDFy67X66rVaiagfWUbc6JyajqdqtVqqV6va2lpSRcvXrR1jcUOj29JJBLmdSCcQUXwBshHAYK+ePGiJWIHQWBdgyVZaMknGiJ0vLcRJXqenfXp9/u6ceOGhXX29va0v79vCY8f+tCH9Nprr+nGjRsmwH34glCJz3+o1WpaW1uz55fmmxf6/Y8K00eNKC0eh8FaIpRQeL5qkZAeoUVot91uq9/v27PT4bparRpK45EijxINh0PrzYVBANpFfkkul7OO+rQ48P2g8I5ZdyoDoc+lpSVrV0FYFUOG0BnnSJLnBPrEmqBgUBDpdFrdbte69+Nlk/OCQUTifr/fN5QAVA8jDSGcz+ctL8Ubp75yDMGMMqffmCQ7/ByUglAoBnOv17PjY/L5vF3fhx15DWMS45rQMvMl/Eo4EPmD3MJYBQkFBQIR8IeH02pDkvVzozIPZQ7/g8xJM/TEo4/HZSx00UIXnSRd9K4MMG/JsUjRm3tLj894iN/DwggmfmAe/8DSfCw+6nEgpCSZMIHgEJD8jWCk8ZtvfMnRDCRBYtGjwJgr0C7N7oixS9LOzo4ajYYhG8DCJDZ7tOLevXs6deqUWdiEEUiUpRtyLBbTaDSyEEqxWDRlE4ahVldXrds4irVWq82tNWuLAOaentCP2ms+z/w2NzeVSMw6FN+/f1+3b9/WdDrV6uqqnn/+eVUqFX32s581JQGMy9qxTzBEtVrVqVOnDOUApfHJrN/u8ILquA0MKxQsVUmgFqVSSWEYzh2QjeCgIoq1lGSVc1StEXYBwWKPB4PBXLUbAoY8KEl2LAj/YySyH8vLy3YkyM7OjnnZeLSgePT4IdEdpK3dbiuXy1mpfDab1d7enlVOlctlMwLxrvP5vKFhiURC29vbdnRJMpm0pqWFQkGNRsPySwif+GIB1hbjkOE799MaBMSIw5JZO/YknU5b9SrIEQadb5pJ7hU8T78mkC5kDwYORlCr1TK5hcHJOkMbKAb4JhaL2f6EYWgG7nA4tCpRmnOCzHj5RcVbLpfT1taWCoWCtbvw63VcxkIXLXTRSdJFjzXA/ML4BfOQ7cMm6YkWoYL1zKYw0YfBwUc9BFCm30xe94l1Hhqu1WpzlWMQFQqiUqnYnBBwdO8m8RDm4bDgRCKhN954w45ToMKr0Wio3W5rY2ND0+lUL774otbW1lQqlXTjxg299tprBgPncjkVi0VT0js7O4YodDodbWxs6NatW/rQhz6kS5cuaX9/X5cvX1ahUNDe3p4lEHrYF2b3cW9Jczkqfo39gOjIq+Hg1c3NTX3jG9+wBN5qtaoXXnhBzz77rG7evKkvfOELxkg+VCLJhAFKcH193TwOkBC8N5+n5H9DJ36+XhDzvxeQx2kwJ4wb6RAhIlRFR3hozlf9YRD4UAuwvyQLJ/EeHjd84vMTgiCwcvDt7W2dOnXKDBGUvUfiMEKq1ar29vZMCRDqJGyJgRGLxbS5uWldpaVZGJYmsDRVJQwGooMxA02ACCDwqQ7L5/MWHhmPx6pUKsb30uGRL55uUBa0ikgkDs/qQ0CDOJAsTZ8lf128cC/ICeNGvXme2yMh/nBuepZhDDYaDesrBqJFFagkQxNIipZm1Z6pVMoq4UAgQDyZD0fRwGugr4RQUbggc+z5cRoLXbTQRSdNFz3SAPNCjf+jsVsEpYcOozAxRM7ffkOkeeZgQPz+fvztz5yDgOmlQ+UWwodeO71ezxQF0D1wPI0XyfGgVBcrHQE+nU5NQUiyhNmzZ88atAsjDYdD8yRffPFFE4p4ojTF/MY3vqF0Om1Jy6PRyLz6TqejbDarbrdr3ZE/+MEPqtfr6f79+8rn83YcBTk6KF+PAkh6h0LyuSMoLJ6Ztdjd3dUrr7yi119/Xffu3bOwUKFQ0PPPP6+nn35amUxG/+Af/APdunXL4v2+oSSQOHSUzWZ15syZuVwF34Q0Srj+d/R9H4aA8I/yiN/vAb2z/ni0pVLJ1oi+OMvLyyZ86/W6CQT2dHNz05JNOcMRL9Rf1+dGgXKQ1wQKhxGGAgbRQrkT8vBd5ovFoiXr42F7Xo2GT2hVUalUzIDs9XqqVqtzVZEYB2EYmjDHsweBwotHYZGzAkrE3ntek2SIFQn0rBmGCWdehmFo6xeLxayJK/ckfw1jhQpILzukGYpIjzBkJPdstVrK5XJ2MDvHGBFSJZfH8yTFFsPh0GQVqCOhVfbXJ6L3ej1b83K5PNdLzeciQiPwDXLvOI2FLlroopOoix5pgCGQvXUHAXov4qib+aoBHsh/Php3996HHzAJn2dTKasH6gX+B6qnkaU063KNdQsDNptNi6MHQWCJkq1WyzYCBkEAeqh3d3dX7XbbKo3u3r1rHi33RWns7u5aXHxnZ0cbGxtqtVrqdrtaX19XIpHQ17/+dSUSs2NggKO9Ff7UU0/p4sWL2tra0mQy0cWLFy0kAzNH15K1A25ln1DO5PNATCAtm5ubevXVV3Xz5k1tb2+bp1EqlZTNZvXBD35QH/jAB1QoFPRrv/Zr+upXv6pkMjnX8A6a4RlIED579qzOnTs3B6d7uoh6DZ7mvAcKDR5XxMuPWCxmuUTkO2FkochJ0sVrpKcVYcNYLGYCllBCt9s1fplMJibMMcTwand2duxvKiXZ/0wmo729PdVqNdsHwmvwEqXp4/HYuqyj8DGefN5IGIbmRcbjcfPsCTUyB58fJc0Eoj86CUGMLMF4AJWiM733tkGOWFffOoL3UGKEOen15cOEVGyRwAxKRriOJGtkJOE8QosUKNAgloaOGKnw7Gg0MgQP2hiPx6aAOd4mm81aLh3PwTPB7/zf7/fVbDZVqVTM2CZhH1kGOjqdTm0d2Ivp9PBswuMyFrpooYtOoi56VyFIbgxMi5XqvSRv+fHZKJT7KIj4Ufdn45gHAnFvb0+j0cg8XZQHHj/VGQhLlAQeCcmoPAeKi6ounhcmAAnodDq6f/++VldXlUwmdf/+fYVhqPX1dTWbTcuj6Pf7GgwG+sY3vqFyuaylpSXt7u5qe3tbBwcHWltbUxAEunPnjoUeJpOJut2ugiBQu93W1atX9ZM/+ZO6dOmS7t27p3Q6raeeespaEhCzh9C99S4dehu+dQCogrfkG42G7ty5o69//eu6e/euJYqSb5DNZrW6uqqnnnpKly9fVqlU0mc/+1n9w3/4D62RJnkJEKivBiL0dPbsWatmi8fjphj8nKAnP76dePxxM8hQHghWnp0EUFAjBNje3p4kmTdM3s7q6qoJZSrmfJk4ggCDhiaMCDYUELRNiJNkeCqUEF4ISN+agbljZHgELAgCS+5FwZCLAZ2CXEF3CEkMD4oOMORAhyRZaDAWi6lUKtm1yanzPO6RIAxDL68IDbEe5H2BlLGek8msSzldyL2SJ0QZNQpIqvZyEKMQo4ZQpjca/b15dr7vQzhBEBh6wTx41mQyafw0nc4OdA7D0A4r5tBuKtn4GyMMg59nOU5joYsWuuik6aJ31YiVgXDAM/DQm4fjPFTHd/zP72RELVE8jN3dXV2+fNkWDGbrdruqVCoW0wb6JX+jXC4bxAnxUAqOhS7JKj0oQx+NRtrd3bVGkNvb24Y+NJtN7e7u6vr166rX6zYf4uLknZw+fdoIcHNzU+PxWLu7u7p69areeustTaez6qQnnnhCP/3TP63Lly/r5s2beuaZZ6yjcKfTseZyvgIoCALzbFHIkub6/pDgTaLh7du39ZnPfMagXQQ65e90Mr569aqWl5dVLpf18z//8/rFX/xFEyQobb+/HtpPJpM6deqUzpw5YwRM2Il8GvbWE7dngofBvsd9ED7Cu+WZSZgnaRvYvVwum9JkDyhn960NCOeBksADKHmvZKmopGrPe6p038YDPDg4sNwj8tJApwircCQKij+fzxvqwiD0hjDEIPNVmyA25DeRxBvNvfJGIy0zqGbK5/OGQIVhaIYpIcetrS2dOnXK5kRYjrlgpJHXhmIjLFkqlQyx88YJiBL5UsgeQr3pdFqrq6t2L5QD4Vj4k+76jUbD2mZ4FMAfLk5oc2try/KBMpmMms3mXDNO0DTWaTKZ2JFD5BVJsr5pFH6gjKh2Oy5joYsWuugk6qLH5oD54aE5YH+8bW8xMkk+G2WGb2d46JLrYa0Oh0PduHFD58+ft3viedMTCUWF4B2NRlpdXZ3bpG63a9Vh3IswAMQRj8cNnUDB7e/vq9frqdlsGvx/cHCger1u5ay5XE4XLlxQPp/X7u6u7ty5o2QyaXAvychY5yRVP//88/rkJz+pbDart956S0899ZTW1ta0v7//jsaXhEaw9CEGL5x8VQdozM7Ojt544w21220LU5H3ks/nValUtLa2pnPnzimdTmttbU1LS0v6tV/7Nf3SL/2SIQ20OyC5MQrzJxIJ5fN5PfHEE3Z9IF+fG+VpLDqOoh/vXfn3jpvnTj8cKv9Q+Ai+UqlkTRDpIC3Nkq7J26Hk3OfyYBQgmFutlq0vSAg5FnReB373+R/wMWFFvHiviOldVCwW1ev1tLe3Z80n8fLJ0eI7BwcHJvgymYy1uyDE6JNefS+qTqdjzSUxHFKplOWMERKBTsk5QZgje0ajkSURo9jISaGH12AwsDJ77gOCh2xLJmdncsLju7u7WllZMfr3MgpjmRwrjMJEImEFCeSlEE6UDs+A7Pf7RgfkBNEGxCtpwm4bGxuWuM39oDlvyIKcsF5BcNjSJJvNKggOW1ywjsfJwVnoooUuOom66LEGGBP0Vp8nRoiN3IGHwXYPS0iD8HhYvAb/PSxofw2U2LVr1/Tiiy8qk8mYYioWi+p2uxYvTiYPT14vl8uWZHtwcGAl7Ajefr9vVjveNM9GiITjCq5fv26nrRcKBSv7r9fr9jzPPfecarWadnZ2dO3aNW1vb+vZZ5+da2J5584di40XCgU988wz+uQnP6kwnJUtv/jii6YUKXkGTfBrBLF5yJ29wAOJxWK6f/++PvvZz2p7e1uxWEznzp3TuXPn1Ol0rAS6Wq1aP6cgODzg+DOf+Yz+7t/9u3PhHTq8Q8QgLz5xdn19XefPn7d1jMVicyEd9tcLfU/oHuHxz4T3wd+/U+H6nRzMFeVPSA80A0EJkuU9SpQ5Cdocs0MjUFAQb6QRXiP0QSiT5O/pdDqXBL60tGR0Bd0QWtne3p47U47WDPV6XZIs5LC3t2fzwFAkwRvFSGNKwp2JRMKMzE6no/39/bmCA4w9FIqkua7zkqySDHSo1+tZE1gUG5WaPnQDeoghCs2yPsgHeN0nwZ87d86eAeW7vLw81yfM50+BUHljkNwyjKn9/X3L2ULuYFj7th6EXkHd8vm87Q38vL6+Ppe3RggVJAxkgb1GeTIXlCKh3eMwFrpooYv4/knSRY80wBAQPqbLZJiIJ1Amwmd9LkM0QdIzj7821/cPBOPhcbCZiURC9+7dM886Ho8bmuArv/b29tRqtaz8PQgCE5YcsYIQ5ER7vkv1SKVSsTLdRqOht956y5q/ZbNZtdtt3b9/3wTvdDprlrm8vKy7d+/q5s2barfb+sAHPqDTp0/r3r17kqRr165pNBrp1KlTGg6H+vjHP66Pfexj6nQ6CoJAH/zgB1WtVjUYDIyJWWvCGKw1RA0BQnCxWMySOn/jN35DX//61y3HZnl5WaPRSBcvXjQPAWFHuIpcpS9+8Yv6R//oH72jwoX1jCaphmFoYbW1tbW5HBeStD3dsG7Q3lFEHmUG3vPex3EzwDAOyPGC3jAuwjBUsVi08AEGF9VUIES+RNwrGXIvQHZ8KI4kbPJ7aNSJ0QXKhCCCdkDWarWa0VaxWNTe3p6CILBQGaFNCgk82sT3Dg4OLJdkNBrZYd+SrD1CLBZTpVIxgzQMQ+MBnhshz/4SmiN8C92CAhFWm06nlkcGTUJn8Hm73baeYVSu1Wo1dbtdUzigYP4oGVC5brdrAp3QpXR4MDLediwWsxwxPHYMVUKG5XJZnU7HaAPkan9/34wpELZYLGYIXrFYVLlcNr7vdDrWtoN1JWTJPtMA2Lch8ft7XMZCFy100UnURe8qB8x7C/7mCG7yBrB6/c35nwVhkbDsPWNFvRLPcP7hgH1jsVkTwtu3b2t1ddVyVvB6L1y4oEajYRUh5XJ5rus2+TjkvkBEk8nEQjH1el2NRsMSGvv9vt544w31ej1jsJ2dHTvrD8VZLBZ15coV3b59W2+//bb29/et5whoxJtvvqlqtWrJv9/7vd+rU6dOaWdnR9VqVVeuXFGpVDLvm/WKenl4gwggGHgymTWiHAwG+vKXv6xf/uVftpySj370o2o2m7YXoCF4GFy7XC6rUqnoc5/7nP723/7bptRgjOgegr5Ih9Vq6+vrOn36tBEyXnbUK8IzitKOp4EoPX43DOgKIcn8CQ0Cn4dhaMgDHh8NUglLYeisra1Jkhlm/j6EAVBKKGjWPZ/PW7K8FzbMBfpnv0DoEILwCygWXh/hTowurkUZfKVSseaxkiwJHbolLw0DjBwojAxylEAH+S6hG/on+cIDjiAiPEg4R5LNneRphH4YhpZ0T/I816Inmd8T8tckmcLF4GU+0mEYhqpMKkMJn9FDrdFoWIhwaWnJqj0JEfG/dFhVm0wmLaRIiIoQJ0YgRn/0MGXoENSU9WLex2EsdNFCF51EXfRIFyeaA+BhXaxHFt8TvB9RS9Enrz3s2kf9H70mwjKVSumrX/2qKYZEImHwJQcHb21tqVqtWjNI+qOAGADzYyWn02k7042z715//XW98sorunPnjiaTWVNKFEKn01G5XNby8rIppbW1NfX7fd26dctCTcvLy7pz5456vZ7N6cqVKxqNRvqBH/gBnTt3Tpubm8pms/rABz5gypr8FpScX/eo9S0dNoxMJpNqt9v64he/qF/4hV/QrVu3lMlktL6+rkajYd3Fgb9RNCjAlZUVxeNxffrTn9bf//t/39bVe394OVGvUTpsjbC8vKxCoWDEixER9SSkQ6+UHw/1Ixj9974bBjSPoQS/DAYDy8FCCXQ6HUvYplkgeUp4wqBBPgwnHSbpolyPUhjQDb2sQIuowppMZscF0T8I1IRQFsqd5G4UOIoDgw206+BgdpZjtVq13jx4wblcTvl83p6n3+9bKBLkDqOPdhL7+/tqt9sWWsWIoooRusBQy2Qypox4j3yyIJgl23NoMVWgKEUEPM+I8cY84EfWiuR+eMH3AaOvUhAEth7S4YHI8fisL1O1WjVEiiRh9nN3d9fCrRh4FDRgaGHUgpyhkEBmJKnVakmSrTHGMnlGsVjMctCOy1joooUuOom66LEhSB+vhck9FOv/BqZjQt7j4Doshod1sVz9d2E4vBSuB9OgaHK5nG7evKmXX35ZH/3oRxWPxw3CT6fTdnwIfVPG47FarZYmk9kRDYQomBMKbnd318rsief7hOjRaKROp2PC7PLly9rY2LCOxZzSzjxGo5Fu3Lih6XRWGn7r1i39xE/8hOr1up5//nklk0m9/PLL+shHPqKrV6/ampPj4oULjEBDPb+uCGdf5RaLzfoInT17VtJMMezu7prShWm9cl5bW9PW1pY+9alP6fOf/7wRMO9zHZjAMyJJjbFYTMvLy1pdXZUkqyyjsgVC9pAthM7r0IGPyT8M/j2uIxaLmXfOsSSdTmcuEZ4QEU1UUaYgEyTEkijtDTCOmkmlUtrZ2TEBCQrmD9iFZqhA8iGPVqtl1UYocH+cSRjOWizQSsKjCPV63SojuT/GZCwWs5wjUDyfB+fbSXD8CQYpaA+CHLTLyxofeiKfyeeFwEPkw7RaLS0vL6tYLFrH8P39feOD4XBoYU1Jdi1/H8JFhJUJgWIkj8dja6dBtRt8y3PQy0yaP1eQUCdGlkfOfC6Y726fyWQshINx2Gq1rMUGa00eHicdMHgd2qDi7LiMhS5a6KKTqIvedRsK721A5D5uelTiI4oEoveJk3yXRNajrGf+hkEg+iAIzJubTGbHMXzmM5/RuXPnVKvVLH9hPB5rY2NDZ8+e1e7urm1sEBzmlbCZwPNeSIVhqK2tLaXTaUsWzmazyufz2tnZ0fb2toJgVsXGIcdAuigqPKMwDK3Z43g8Vq1WUz6ft1yAu3fv6umnn9bly5dNkHsvl5wZmB2iRuFBMJzJBzSbSCR05swZnTt3Trdu3bLv4JExBxATnuVb3/qWPv3pT+uVV16x+5JnQpjMC0GUKIwgySq/6EVE2AXBIsmu4YcXltHXoInvBsPLD4QYipffGDzsL6Ej1hCYHsEH/I8RFovFLL8J1AclCj8eHBxYki2hNMKNoB7QGqGcIDg8J5AkcIQnFXfcEwUiyQwkDuluNBrGozw332N+nU5H1WrVjE5CjygY1g0FA9rFZ8iZo9N4GIaGLIKyBUFgoZtSqWTdyPP5vHnb+Xzecr+gL/LtgmB2fBOhDNAISWZwIS/gIYww0ALflZsw03g8tvnwDCCHGIc0+sTw4qQALwt5BkJhPh+G/UHW+tAt4VrokS7rxzUE6f9e6KKFLvpu10WPzbKMehcokjAMzduaTqdWQeXfZxDa4Bq+xNlbk9565iHxZvzgc0CbJJN+6UtfMi+CeDPCES+dA0Wp8Ol2u2o2m3OQexiGarfbunbtmjY2NrS9vW1JkdVq1boe48ksLS1pb2/P8nHK5bLu3bunVqulZHJ2/tva2ppWV1e1urqqg4MD1Wo1UxKJREIf/OAH9eSTT5pCAoamHJi1g9i9EPHKlvAFydyxWEzValVXr15VqVSyvIB0Om09YkqlkqEO3W5X/+pf/Sv97M/+rF566SWz/Nl7PAoInP3DA/BeUCqVsrwfEr5BDRgIxyjtQC9eWfjwjl8DLxiPKyqGRw4CguFCCAyoHbQLjz+RSBj6xRqQB1Kv1zWdTq26DsQsDEOr6uGYEfYAxAvhNBgMrPKvWq3afdmnQqFgBwdjyJFDRWI9xhi0wfpT5cg8CE/68nRCY9BGrVazsCf8SIinUChYNZ90eA4fhhlyxYc3oR++jzFJQ0eUHB57JpPR5uamWq2WzfHgYHYWH397OsZwIScOJANDEqUHikFoij0lwb9cLpvyIXme/DUMKAx1EESfDC7JjDQOOPfIg5exyNcwDK2artVqmYyLx2enF3jE7ziMhS5a6KKTpovelQEW/d/DtUfFgH0Mnr+9x4DgQHDbZI6I2/Nw0Virvx4Lh7ddKpXMG6A3ER6ndCiEOBYim80ql8uZEiOEArTb6XRUr9ft7D3PhD4B88KFC3bcA4qq2+3qzp07unXrlt5++23dvn3bKsFoNicdCmI8c5Qd1WQcayLJ1s17J+QKpNPpucREck6Wl5ct/v3mm29afP/mzZvWjTkIAt28eVNvv/22dWNnjb038TC6YK9gzFKpZD1wJM2hPT5XKArjevjXX9+3SfCfj9LJcRtBEJjHCjpFqEuaXzsUKGEkjCf2lVAYhka327W14Ww01o1wH60R6HrOuYM+HIUx449R4f6NRsNCoVRrcs/BYKB2u21G03g8Npgf+uW5E4mECWJf6embsvI5BPloNNJgMJiraAQ5wigijEB+C8YJqALePygdYWDCcNGmpb4r+cHBgX0fJcp1MdpGo5Fu375tnjs/7NVkMtHa2pqy2ayFgTAkQakk2Rr7cCt8DbIIyske93o9M9gmk4mFtIIgsDYlHvkA+SSkxf28UYuiPm68tNBFC1100nTRY0OQ0fhn1LLzMLAnYib8KAsQwuVBIF7vdUSHj8GjILBGfWPBMAy1ubmpvb09E6z0V/EJtuSXUN2BB8KRDsSlh8OhCeDBYGAHGe/u7kqaxZSvXLkiSbp7964JajaQDuaJREJPPPGE9VA5c+aMLl++rHK5bGe2+XATyAi5PGEYGmOSL5PP561qxFvgrBdwLRUlmUxGr7/+uq5cuaLxeHaMBpC4dJgXgXcfi8WMkfw1veDzexOGs/5V6+vrdl1CLXiBeCaejvjx+RUPo6FHEfhxVByEkRKJWWNSKt3IHfLKGA+LpogYHktLS5bXgaFCOAHvjCRxjLUwDOeS1RH8hEbgGXgaw4tWEUEQmLGEIUn4E77xCfPcn9Ag3j3XwriDt06dOmXoAWE6DEyMQdANQjkYm6BIrCn3J3Gf9YvFYnMtNyaTw2OYaHyJwVur1czAIU8OeifkyxxZA0mGcqyurs5VbxJKZE8LhYLtIUYdChkD1isJX8VIpSbzp/INAwI6ohhAkpXeswfMl/eQSShQqm5pm3FcxkIXLXTRSdRFj62CfLdWnZ989BpewEt6B8wX9SC8xxL1ODzR+zCNt0alGdT81ltv6datW5a8ynfo2ZPL5SwBGQK7efOmfuu3fkvXr1+387OAtoFfEcq+pcDu7q46nY6efPJJVatVE4RUdw2HQ5VKJf3QD/2Q5ab80A/9kOUKcLZfLpezBEO8f4R5IjHrAUWDvmw2q3K5rHw+b8/mO4FDqKAl6+vrtrbD4VD37t3T/v6+tra2rBSdRG7yIYBpvfDjPn5/2UMUXC6Xs6Mq8IpgWvJ/oh4pNAHDeWZCeUdj8UflaBw3A8yHqVDc0MbS0pLRIegGyI4k8zRZH9AewliEDprNptEJSEi32zUjgJwSX+ZO0j85Z4Qw0um0oS27u7uGwmFI8jx0pAcVI1+KXmEodUIt0+lUjUbDjCHCDKzHcDjU1taWtra2rEIUwwLlAWIlzYweFBY8RqJyu902Ybu/v2/VZqnU7FxN6I+1LRaLZnTi9UuzEClJ9oQXUcq1Wk3j8ViNRsOMH8LKhDaRAygib2hiKLNO0uGB5EEQWF8p5ghCSF4cPbxisZi1qcAwHw6HarVa9iwYfZLsXoQ1UaDkR43HYzPEj8tY6KKFLjqJuuiRBhge9FGEzw09YR5F6P57RxGxf7ijCP+o7/v/YRwUF5UaOzs7un37tiRZculkMlG73VY2m7Wmi/RNgRGkWSze91UBto/H4waHIpQpDz44ONC1a9eUSCR08eJFnT9/3kI9dD3+sR/7MWsC9/3f//1aXV3Vzs6OKTifGEs+D3FuvJ39/X1TkoRzQB08ZErXbzwtvrO0tGQH7zabTeuYTK7CdDq1tgaEYY5KamVd8VRQBHg1tVptLpkZQcAz9Pt9E/rRa+PFGpE+2Oejwg0873E0vBjkhnivrFwuq1arSZKVo2OkgeAsLS1Z+JHz4VgLLwzp7TWdTi0UmEgktL6+rlwup36/b8YYPagwAnwYEiEZi8WseSdhLPLNms2mhTPpWg8kj8GD4CKpnE7tGHiECbe2toyGQATJUSFxuN/vq9FoSNJcKCQMQ0tGT6VSajQa2tzc1ObmpvEq4VN41uea+UpRcp68oUJX8lhs1iU7lUpZbg1NS6n8qlar5lEHwazfGyEfEK14PG5eP4YjCFyz2bTTAGguu7S0ZAcsg5rQyBPkin2m0zoGLXk1tVrNaInnB3XzRhdoCrKG543mO72fY6GLFrroJOqiR4Ygo4ObQnAshidGP3lgXGDLhzEH8VeuhQBnEaPQ4MrKiiaTyVzfH7yJ+/fv69SpU7p//7663a55iwgdCH44HJrQDoLAjjEhSbJYLGpjY8MUCkpjd3fXwiP9ft+8hEqlYn2Mdnd3tbGxYcnNuVxOP/mTP6mVlRV1Oh194hOfMEGYz+dN2aytrVnOCV4qSdN05+YZIEiUH4qQMAMKhr+Hw6HW19dVqVSsVYE0g6sTiVkX5zNnzqher88JJOBmX/nCfb0XyV6joE6fPm2HN+O1S4eMwndZ74d5lzwTzOAhbY9iQCfH0RADgfHrxbqk02kLHZAMi7Imh4veODRfjMViFlqjeg4UBeGDcQSqRhgBIyGZPGy6mclkzIDzIRwUfDwe18rKigkpvEoQLx+OANVBgcTjs1J8QmkYgbFYTKdOnTIkjFyq8XjW+4yz3vjfV1t5wYpSOHPmjBqNhuXFYfjhycIDeO+00cB7JvxHPpjnK3iFUwbwxskNOzg40N7enorFotrttiqViuW/MF+uSZ6MJAsPg2aAPMD7nFeJkRiPx7W6umrrAE35hqtUrS4tLZkhhqfP/tEag3Aw32dNuP/DQm/HYSx00UIXnQRd9EgOizJg1APxRB79/6gKFL7vKwg8bMv/nkEQnjBcuVxWuVyeez8ej5tnfePGjXegAxAOG+irtvAgNzc3df/+ffPEU6mUdaLGY2XD8VqB6pPJpJ5++mnl83m9/vrrViYMQX7iE5/Q+fPn1W639cILLyiRSNj88WQhCjwPevsQagIF8N603yMIg3VkLRlcj6Z+KBOqn+7evWtoCMgLAkg69CogcNYQQkO4STLvnVEoFMwD8krdh4doKcCPz23xgtYzB3ND+EbDC8dlYPBQkSgdhkcwimiBwH7icfI5GhGS/4MhwaHVhNzq9bp6vd4copLJZKwyjvlQPRWLxcyQYE3xcqEFQnuEAwlLsOd7e3uaTqfa3t6ea86KsGRPwzC03luSLMfK55GFYTh3rA+IHcibJHs+FAOGVK1WM/6RZEnNhA0pAkgkZr3BMEJQypJMUflKylarZSEgUDP4kXweH5qVZAULsVjM1o/9Zo0xHjGoeTZp1iyVg5VBF/iMfx4MXxRLLpdTtVo1g8Eb+hjk0+nU1hqDHH6DHqL5Yu/3WOiihS46ibroXXGYj3XiHSBQgiA4EqrmOz5ey6QgQAiaKilvafJgfAeBn8lkDIqlsicIAqu8uHHjht5++23bXBQH3gHXwjsmTIFCajQadl4eORvkmYAKcA1ew7JfWVnReDzWU089pddee03D4VCf+MQn9Pzzz6vf7+vZZ581IUmyK94MjBaGoSVJks/Cs+NBMS9J73gmNhxPhL0A/qWUP5vNam9vz8JfPoeIfASIDabx+wJBgngEQWAHyZ49e9byaWhlwLPhYXpPExryCZfQCTkt0mHFUFRpeho7jgYYKFaxWJyrdCN3a3l5ea56D6OF54xW5CGQULJ0hl9fX58rdacdAv9DUxgu3Es67OHjKwoZIGvQKKEwnoecpbNnzxpt+KODEHIklyPsuDb7yDE50BxVhUEQmLDnOpPJxHoA+ca0JKqHYWg5asiAIDisigL1gccmk1lHcQzadDqtdrutTCZjISIMHRAw0Mper2d9vwjHYEh65ITk/jAMLZcHQ5owCM+/tLRkiACyAvTKo5qEvHjO0Wik5eVlM+6kWR4b8hj0cX9/35rNokRJxvbHvxy3sdBFC110knTRY5PwjyJehLgPWXAjFIP/2/9Isgf2uRo8jPf6PZyM1eqJAK8CQYPgu3HjhrLZrMXDETC+xLter+vWrVu6deuWOp2OTp8+bcRC+e2pU6fmkvQg8Ol0audmxWIxtdtt3b59W61WS3fu3FEikdDS0pJeeOEFvfDCC9bfpFgs2maSW0MYAIXJ4avk/BDuoZINaxuCYq18ojLC2CvXRCJhSAsVWCg1Qj8IfISF34ejhvcE2MNisaj19XVjZhAC9hFh5/MCoAN/H2B9juHpdrtzfa5gDu+RRJNfj8sA+QIpikLUPrkWpMgnsYL44DVDg3iCHMzrS6l9ztV4PLajjbxQ43s0J5Rk9Of334el8PTS6bSFOUBRMBagLV9hSQsMznzD0MO4kg7PgGQdQBKQHT4kiPFBHhuCkTVhrnj1yIZOp6MwDNVqtew7KBI8XubV7/ctPIjMYW6epn0IECUuzfJ3Wq2W0Srr6teFMDO5er4CslQq2TNiKKHA/P2QE+Px2JAzjLx2u23K0CMn5N7475Hwz9FMx2ksdNFCF7EPR43vVl30rjFmiN7DujCBj4UedVMfSwUy9HkQUSbwsVTp8CgQklNTqdRcd24+GwSz3jc7Ozt67bXXJMk6chPqmE5nFSTXrl3TvXv3zBsnL6dQKKjdbqter1svk2q1apVOJObu78/OYOPk+bW1Nd27d0/NZlNf+cpX9Pzzz+vDH/6w9vb2dPbsWS0vL881YkTZcM9sNqtms6n79++bQsGTwCtGiLIe7IdXIBA4RAiTIHSr1aodaspRMYPBQJPJrHqNxF1gXW/Zs4/kmbA3QLjpdFpnz55VtVq1PSV8Aq0Y4TlPgv2LJlh6j8Q/H8QdDTFA/MdtkG9VKpWsdYJPYKW0nD5Bng8o7fZtDeiLRaiIxPvJZNZ3CqNBOkRNYrGYedLA+ni4PvwHbyaTSculghYQZKwxCb2gbBhi3W7XBB37QgilXC6rXq+r2WwqlZo1R8xms2o0Gu8Qgr6RKEJaOmyYKM2E4+7urq3jysqK3ZM19DThUarJZGLPTXWoR/7oxE0YghwaWkZkMhnr79ZsNlWpVMzzjsViVhGG4UOSP1WnhJn9eYGEpH2bj0QioVarZWu9v7+vXC5n16hWq4Z+VSoVSTKexlhkvwllwrOSTAlxLBIh4uOIgEkLXbTQRSdHF70rAyzKiEyYB/MxVz+81+L/5/tYxkzae2ie4KPl82y0XxA2GeKr1+sGjTJXLNnNzU1tb2+rWCyq0+kYQYMMpFIp85DPnz9vB+GSeHzmzBk7o06SHb1CAu/m5qZefPFF7ezsqFKp6PTp06Z4eQbQiXPnzhkz+dJin/yL9e7XHSVJnyX2QtLcWkIseGo0+vNly1TREHKheaOHfZm7JGtp4PdyPJ51AV9fX3+HtweBRmkETwvFzwBG5jWPGI3H4zmkBxrwHuxxUxwIBRQ46ApCKVrBSJgR/vDhMhK1PWIG9I7XjYCTDo0/FATJ2BhIhCDwVIHk2X8MRW+YYDBIsl5beNCSTCmQ/4SxwBrk83lD0IIgsM7ePgwAXREeXFpaMo+c5zg4mB1aXigUzPABIQrD0AwZ0DsUHp6wD12xD/6Yl8FgYPkpCFuqtGilUS6XNZ1Otby8bDSK0oJvJc21HQGVBJnk4GRp3viZTCZmPNMZnXVlD6EXj/zwOW+ooFQIF/MMKNAgCLS+vj6Hlh2nHDDGQhctdBFzl777ddEjOYx4sHRYdcIPiWm8F4XtvLUahecY3sr0liQPhdfoHwwmIFEQBcMm12o11et1XbhwQaVSSW+88YYpKARVs9lUr9fTlStX9OUvf9nK+NPptLa3t5XJzA4APXXqlEajkZWfg0ikUrPu4svLyxYL39vbM8Tgh3/4h7W/v69SqaQPfOADlo+BpyTJEItKpaLJZKLt7W3t7OzYESl4+4RQWFMP6XpiZv2m06lVrlCJBTyOkonH49b1mO/3+31tb2+/A5LOZDJ21IuP4+NJQyeTyUTr6+t2mHSv17PDmX2sHGJHqMHYEKzv7uwJ33u40CTXxGjwYYLjNKBlEKdyuWwGRRiGc4ILw4nyaxJCJZnSRAGACiF82u22KWsMAXjVKxwMGM5BTCaTarfbxmf0F6tWq3PH9aCMyDmqVqvGU9ARPMB14Q8EJhVehUJhji6gE8KnVCzS8oGKJo9ujcezhoqEQaFbSvKRF9DRdDq1UEqtVlMymbQ8MRCxWCxmzVFpQBuLxbS0tKR+v297QagGJUy4iAam5BSxr+R3jUYj7e7uGlqIh48S4zfJ+KxPLpebC5s2m03r4SUdhn2QK6wbSoDkb+gIWgP5QGnwTBRmHJex0EULXXQSddEjOcxfxMd0eXAI9mFWHg/mk9d8tY2P2fqH4bv+dRSYpLmQDHO7ePGiksmkdnd39bWvfU0vvfSSLl26pDNnzljoBOF77949LS8vq16vW5VRsVi0slc86Dt37qjX61klGRtPc8Zqtarbt28rm82q3W4rDEM9++yzunLlim7duqUXX3xR0ix0Uy6XtbGxMVfiHQSz/J9vfOMb+sIXvqDV1VVrjFmtVi1J0icwc2wM3ks2mzU0A8/bC34ECt2TiV/v7OwY4SNUgH8rlcrcvpNHgIBhz7xX4ivtUKQIfU/EXJMf1sPvv2cOlIZHaDx98Dk8F+/lHpcB6iTJckeCIDAjhDkjGKfTwz44VABSFo6Qwljg+un07JBeKvRAnMizAAFjDzEsxuOxnVuIQZZIJCxnq9PpGFrE+4TeMKxAmQiX9no9S2YGBeP4H5Q7QhFh5XM8vNHAvEFr/PFGCPh8Pm8oHzRNHgnrSIhzdXXVEDDu4as14/G4HYJNGJa8MUkWfmTtCQHyHMyZRrK3b9/WhQsXbD0xkuBdjOUwDM3oRl6CWEE/GNz0/CJkNZ1ODaVEflEwwDohL/leLpdTp9MxBQsdemT2OCHJC1200EUnURc90gDzVh43YLP86w+7ERONvuY9kGgyJBb0o+L4NECkd08+n9e5c+f0yiuv6J/+03+qzc1NpdNpnTt3Ti+88IKGw6E++9nPqt1u6/r164rFYjp79qxu3rypg4MDPffccyacJFmvJZQKMC3Clwaa29vbyufzarfbajabWl1d1Uc/+lHdunVLH/7wh23jS6WS6vW6MQpnzTWbTX31q19VvV7Xs88+ayW+d+7csZLic+fO6cyZM7pw4YIqlYoJeN8Yjz0g7ACUTt4HXbHfeOMNvf3223r77bfn8j9Y/1arpeFwqJWVFfPSQE3Ie+C+ngZQAJVKxfJYUGzeS/JCjP0ntBX1Wvmsf90LVzxiruvj9sfNCENYDAYDMwh8BR0eI2sHA+Mlcvah98wJQzG63a7lMGEQxONxOyewXC6bwgnD0BQ26I404yuuiwBJpVKGgvnPEqoDsSGUyRygPegQYykMQzsUGxSL/lPkkjE/wny0rqBSEJrN5/PWGb/RaJhxCt/lcjltbm6qUqlofX3daANEj7lLh+EYztKkHB2BT77Y8vKyVa/mcrm5I5vYP/LGSqWSnnrqKTMgx+OxNYGkCMHTAmc+ElYplUqW2I1R1Ww2FY/H59qSIAMI98APoFzNZtMMLfgJ5Qma4xuxes//uIyFLlroopOoi94VAuYJz1uM/udh32cSLBTwrL9mdCGYfNQK5ToImoODA6vIuHHjhhKJWV+kvb09pdNplUolvfXWW7px44Z2d3etf8n6+rrq9brq9brOnTtncWJCBBzr0e12rZdPo9EwJVqpVKzxYxjOKqpisZj+4B/8gxqPx/rABz5gvUdopjgYDAwhkKQ7d+7ozTffVBiGunTpkimt6XSqra0t3bhxQ/fu3dPm5qZee+01Xbp0Sc8995zW1tYMbgV+hwA80Uyns/YEGxsbRuh0Dk8mk7pw4YJisZgdV4L3yzwKhYIajYYJbQgNL4F9Yx+I5XNvIOeod8B+QphHEainJ09/zCPqpXrDAho5ToMQlIfJfU4FRkir1bLzHqHFZrNpuUPQ2WAwsKRcX7FIwjVoCXziq6cwpPr9/lwnahLEyeVAeXNtunv3ej2dPXvWQoIIwzAMLaQFWscPYTaMhCAIDCFDMGPAeEULeoP3LMnol2tJM7qoVCqq1+uWn9Jut1Wr1SzhGGMFA8UXObBGHLfi22ckEgkzxqRDeqUVhZdT0+nU8sd2d3dVLBaN95Ex7BHfxVAGZYQueHaMUBQLc+Z7GLbk/YRhaIZ0Mpk0BE3SnBLzRQcPU0LvJoTyXo2FLlroopOoix5pgHlC9NAaAj0aT33Y5H0OCBOOvk982E8aq9J/1r+2tLSkU6dOGXxaLBa1urqqK1eu6I033jDkYHd3V6PRSPV63Qi6Xq9raWlJly5d0ptvvqnhcKhTp07p7bffViw2O1Ge2Pr6+rp2dnZsLe7du2de+r179zQajfQ93/M9yuVyKhQKunLlip235cuVc7mcKpWK3njjDX3lK1+Zi1232221Wi298MILBr3SBHIwGGhzc9OgX85w81CoJ3jCUDdv3tSbb76pnZ0dQxFoVzCdTg2JAEmhooQQmE9GJNTE2vt8knQ6rZWVFVWrVWNAwjTE5B8mOKO04pkkSleednhm8gkQlD6kd1wGxsn+/r6azaYlOgfB7Oid3d1d87AIJ1JJSN4FdEJHfOlQiBBS4aBtkvQxYvAmJVnPKhQ9x5lwDyrpyMNCECNg8aDJYcIQ8nkP5BTh8UKrhPUkGQrlq5wwVMljgzZJHOdeviUDhunBwazPGoYDhgfhRLxjSSa/stmsyTO8dWgqm83aUTI0ngWpIuTpc60w2OiN5kPIYRhalSRrAuIC8kehBUgKyAHJ1OPxWNvb2zpz5oy1LfFyktCmDzWy38yN0xW8AQfiBR9BYyCIx2UsdNFCFzFOki56bAgSQoxa/j7m/ihPie8jcIB1/bW9l3tUrF+S5Xog9KrVqoVDUDSVSkU//dM/rSAIdPHiRb3yyiv68pe/rNu3b5twA7qnBD4Wi5kCXFtbsxL1drutXq+ndrut1dVVFQoFU37D4VC3b9+23j21Wk0/+IM/qH6/r+eff97yZBDCMMjy8rJ++7d/W5/73OfM28UT2NvbMwa9f/++gmDW2LJWq9lRE6lUai4fBUVF1Qf7sb+/r52dHYutj8djvfLKKxZGAbVgHzyRIJjphE7Vi/dwfHIu+TgcHQM0DjFy7WicPurN8ln2PPqba/jP87zQEYnPvmLvuIwwnOUvlMtl6wNFgjh7Rxhsf3/fPDjCX9A9z8YxI9AzggZjAlSHJGEQIBK8a7WaXcs3bwXF4nX4FNSEn/39fcvbKJVKkmSJ/P5IG54JI80rr6gB4GUMdIPnylohbMmFwWCjlUWhULCQWhiGlmsDEodAT6VSdjg3tE0SPD2IqtWqEomEoQuEYMl3CYJZY9dWq2UJv37ehA19JSiGKtVqrDnFFVtbW9ao04dBaRtAqMd3qx+Px7p27ZouXbpk++xD1/7kAVAC9gNDFUSFkDP7flzGQhctdNFJ1EWPNMCihO5fZ+GwYKPWnmde76n4xEmuxUJ6rxBvhvsiaM6ePaurV69aMi6LNx6PVa/Xde3aNUnS/fv39cUvflHD4VAXLlzQqVOnlErNTmF/4403DJXg+/F43HoT5fN5bW1taTKZaGdnR8vLy3r++ed18+ZN3b5928I0VJ195CMf0XA41NWrV40gfB+kRCKhUqmkz3/+8/qVX/kVxWKzhnnE9/nt81OazaYajYaeeuopvfDCC+ad4CX4/iwoDgh6e3tbX/jCF/TWW2+p0+lYpZc/HBnCweOAKBHKMKpHJ46CUyF68ldAJVgH1jcqHI+Cgo/yXh/mrXiahFnI1zhuCFgQzCpjdnZ2VCgUDKEhDwoUhX3BYMKI6fV65jUC2w8GA7sWSpe8o8FgoE6nY20VJJkglmShLIQ74TiEBaXg7HmpVLL7oJygD4wj8r8w5hqNhoU8CHUVCgWr7oPnMUapmgRtghZ8DpkPwy4tLRnt4p0T1vQhWe6Vz+etoKDT6ZjxQ6UVxhjfHY/HlgyNEcjzxuPxuSpB9o+qRO+945UzL0LM7IEvrKDQoNPpmFGKUqXvmA/NeMWxtrYmSRaeqtVqJk/ZV4zLfD4/1ywW4wEEECV3nByZhS5a6KKTqIse24aCB+FCQGxR+Ne/j+fAezyMzxfxwzMC1/eLRFXR1atX9cM//MOq1Wr6/Oc/b94gMeODgwPdvn1b169ft9eeeeYZXbhwQTdv3tTq6qq+/vWvWwk6icRAk91u18IPWPqTyURvvPGGXnjhBT3xxBPmpeDZPv/887py5YoSiYTOnj2rZrNpuR9LS0sWrvn85z+vz3zmM5ZIS6waQZ1KzQ4U/tEf/VE1m039xm/8hm7fvm09YZ555hkT0HgWKETCHqlUSt/85jf1j//xP9abb75pfVSeeeYZVatVff3rX1ez2bT9AVnxfUtQLMzJ58fAAHiPhElWVlasASSefzSJ8WGEyJ5HPQrvkfJdHxaA0KEpL0Qf5QW/HwNEih5gQPagEaAvrD0IC7kapVLJ2jcQxiqXy6ag2Q8MPZ84jkDnh3Js2ihImmvxAF+n02k7oHc8HlvyL+Ern7wevU673ba+RNPp1PoK0f2a/l8Icmm2561Wy5LqoS1ypur1uiSZ4YEhCHKGUUvY0IeqGNyb8yAxDDF0gyCY85ZjsZjK5bI1KGVgIJPgC70TpvSKmnAyxu/+/r6tBffi+z5PkIPXfQNVBDuJyNBVMpnU+vq6HRsDjyQSCe3s7CiXy9maVqtVU27sNYYrhiX7CQp7HMZCFy100UnURY9t9BIldrxDrFCEAh4DN0T4+4RZHs4nNgLVMWEeQjrsOoxQSKVmB+7u7OwYwSM86ZnCobmj0Ujnzp3TysqKvvWtb6lUKmljY0O3bt1SoVCwKo5Wq2Xl5lj029vbWl5etn5I4/FYb775poIgMGKmQuNDH/qQut2uPvKRj2h/f9+sb7oYZzIZ/dZv/Za++MUvajwe2zlXq6urllxJs8tEIqHnnntOtVpNZ8+e1ac//WmVSiVrB4AHPZlM7DusbalU0t27d/Wrv/qrunPnjsJwdhbduXPndPXqVT399NPq9Xr62te+ZuEMCMnvD7lDPieACjtfieeF9+nTp62ZKCEqrntUbN2Ph3kb/n2PiMCoKDlP9NDqcepfJB2eXSbJoHToHqVNl2mQJMqwUbJ4d4SPoFvK2nO5nFUldrtd60flk85BNID2MTp8xSLGzmg0sjYRoCXSoacKcoQQYi4oc45QyWQylqwvac7oQYhJh+0d+N/zUr/fVz6ft+ejWpIzD5EFkuY63GNEYVgwF+QSHnsYhlayjtGbSCTmmrZGB2gRIVAUB9WaGErILRRKEARzZ9MhO/kOiAB778O8rVbLqjRp4wHd+zCxl6NUUoZhaGFJjEHWrtPp2KHSKFAvI47LWOiihS46abroke9GwwE8rIfd/G8PiSPcvPfNewgnhJZvmMhG+N+pVEo3b97UK6+8oosXL6rdbuupp56yUtkwDK1c9o033lC329XVq1dVq9UM4qWhJfFwGA7Bj7U6Hs+6U586dcqUF8gAuSx4qk888YTi8bjK5bKKxaK2t7et5B0Bff36dX3rW9/S6uqqxfD39vZULpd17tw53bx50whqaWlJKysrKhQK+uhHP6p6va633npL+XzeIGkOIPbJxszxG9/4hjEj6zedTtVsNpXP57W2tmbXQvmyv1zTN/oEuqavDHvnPc9KpaLV1VV7je9ChAg6T0d+HOUheHg3CvPyN//jMXJ9DIHjNIDzWTv22wt+utEjWDGQCNmRR0QeGGESwhfdbncucR4Uy+9Ft9s15Y9B4r18ErSZHzRy//59nTp1ypR8NGRF6If+YpIsPArfgA5w5BLzRdGh1GhOm81m1ev1FIvNqr78uYiswd7eniqViprNpgqFwlzok/Xmubkn9EQriPF4bAUPrVbLjvXB897f3zfDuNfraTgcqlKpmNHDHhBqnEwmZrh2u137riRTlj6U2O12LWcGw4gjjbLZrCXWI6dAPGu1miFwKO18Pq9yuWwo6O7urlVCeiMFOe2vgzEDvWJMHpex0EULXXQSddFjc8C4GAsEsfC/L4PHEvSf8T88NGXYfgF9p2ab3INwDIeLjsdjy+NYW1tTrVbTSy+9pE9/+tP6/Oc/L2nm3XMA5/379yXJDivN5/PWIwQGQFmRazIYDDQcDg0FyOfzVnUE85BMfeHCBU2nU6tMqVQqWl5ettDSxsaGvvjFL1qJ+Pd8z/doa2tLL7/8sln1ly9f1vXr17W8vKwf/dEfVaVSUSKRULfbVbVa1ZkzZ2xzia+zNpPJxE6TPzg4UL1e15kzZ7S+vq7t7W3zbD/ykY/MEQ8DoUsFRxgeVq3hTYJYHAXXS7MwBZCv91S8Z+7pCfrw42GxdX54H49IkiWYQ5MgSBw0e9xGOp3W5uam0TiK3XvdrJXPFwLRKZfL5m32+/250BuoWK/X0/r6+pywI6RHZZY0M+YQnoTBWq2W0cN0OrVkfI5GkWS04kev11O/37fQZhjOKv6Wl5eVSqVMqZD7hCzAmCA0RpVoEATWuyyVSlm1FnNjLrFYzIxWX1pfrVZtbQiFEF71Sf+SrLM8NMV5kmtraxYS9mgdAtV7vKBWIBbR/CIUk5eDnMkJygj6MBgMtLS0pL29PaMLUEz2nPsxHwxeX4BBjht7uLe3Z8iZRwPZA5rk0suN5/Rl/u/3WOiihS46ibrosbEaPCUeis33RAzsK8kI2MN+LDYCAEZCeAKdTyaTOcJ7+eWX1e129cQTT+jZZ5/VU089pbNnz9oZUi+99JJ+7ud+Tjs7O3bQ8RNPPKFLly6p2+1qZ2dHjUZDq6urFktvt9smsCXp0qVLunv3rglQclbu3Lkz1yG6WCxagqskfd/3fZ9yuZw+8pGPmPIpl8sGRV+/fl1f+tKXLHzDnPFQWq2WgmB2/trly5e1srKiCxcuqNFoKBabHSfhGZSQFMoaJIFwC3kqvV5Pp06dUqlUUhiGunLlinK5nO7evWtwOeEWSebpI5hRTpxN1u12jQnZ31wuZ14SlWKsC0gHgo695gcGw8PzQhWiZ25A+j7nx9NVLBazPjEkqWNwHLcRhqGq1eqcIKGSjQNuQTNQkAgbOsmzZihHvMVcLqd6vW6okSQT6KwfZ8dxGDBoC12pqR4kzIUiOHfunCaTwwO/6WUlyZ6lVqsZYoMnKs1oHkFNTgtHHEkyjxave2dnxxTd+vq6KUEUE8YTSbwgXZIs1wVh65PhWQfoFPSQ13nWcrlssopcMemwvxfPQo8n1oIQsKdRZBmJ+yBohA4xfJAX1WrVcuOYI2dRkoxNiBQ+RdCDhJBzRrEDIUeMk36/b+vESQZBEFjBBcn57XbbDoo/TmOhixa66KTponfVByyamOZhbP5/1DWA6j38y2u87pmmVqvp9ddfV71e15NPPqlPfOITdi4VPWo+9alP6Td+4zd048YNnT592roMkyR5+/Zt3b592xQLeStAtplMRsViUc1mU0888YS2trZ07949IwDvyaK82NjV1VWdPn1avV5Pp0+fVqvVmqtSe/XVV/Wbv/mbxvyZTMYgbhIca7Wa+v2+hSIIN1HJRjghmUxqc3PTPFNPSD5hNJvN6urVqwZpE7a4d++eGo2G3nzzTdXrdRUKBaXTabVaLSNk5jYejw2lKBaLunXrloWXSID0iMHy8rIdr4EX5wn8YbThkxZRAlGi9xUv/n2ffF2pVFQqlSw0x3NEvdf3exBeIF8LY0Y6zE/x9E/H62azaT1wSHz3SZ7SYXiTcBFtJ5LJpHZ2diwkNZ1OrW3DdDq1ajgQAhQQxgEhOkIeDB9uA93qdDpznd15TvKjQGeo2AqCwMJw8IwknTlzxnokQWtcx3ug/qxCn0snydYV4xQjjBBmr9cz9ABkzBtixWLR8joI87CmXNfnsSGg6W/E2kD3GNBcm7Vmj0DRUBTIGEKyyCBQM1+ht7OzY9ejSSUVs3yfdhZhODuBYHd3V9Vq1Z4LuqDRLoUSyJDjMha6aKGLTqIuelcGGJPx8U7vTRwVU/V5BlHC97FYBKeHCYNg1julXC7r/PnzVub9yiuv2CZcu3bN+v50u131ej1dunRJb7/9tgqFgsrlslZXV22TqDra399XvV43rx3Pc2tryxQBA0jUJyynUil94hOf0Pb2tj7ykY/YSfbA9i+//LJ++Zd/2Rrx0cvFEynJyktLS2q327Z+/X7fCDEMQ/P48TZQNCASMCJESQluo9GwyhgQjtFopFwup1qtZs3xfEiJfYYQi8WixuPxnCBGueBRl0olU/B4IRgJfkThXp+74V+HpnxFE5/nNRREsVi0Q6195QyK7DgNjB4QLWgQRAx0J5FIzHV8ppKQfCpaKBA2kWZ74ivX8JTj8bh5oqVSydAp0A4QMsJgXKvdbiubzRoK5qv2yMMAufMJtNAfXjrGFZ8H1QvDUBsbG2YckYdGOIXn9mcUMmdyrFgLhC1oFGtASIRKz1QqZcm7CE2S3kHToOFEImHIFV3ooa1EIjFntGDEeW8aj5y1SyZnx7+QrwUN8MzsvXTYzZsBEsNzkVOGwQh9YMiR90ZoljXFIJZkVZCZTMYMCNAe9ol8suOEgC100UIXnURd9NhGrN5CRGDwN/9HiT4K+fnXeDge6iiG2dvb05NPPqmnn37aKjgo6R0MBtZEstPpmJC+e/euVldX9eEPf1idTkcHBwe6e/eundkWi8V06dIl5fN5OzdudXVV8Xjcji1ptVo2J0nmbUqzxo8HBwf6yEc+onK5bB3D8TI5auLXf/3XLe+DEnpf7USeAfeo1Wq2UdlsVsvLy4ZmQMxeyaHMISyYgnwZFAxJkni1GADk2OARYeH76g3i2HiXXJM9ZA4IaS8c/H5GvY/o/ke9Vv9dDwejzLLZrMrlstbX11UoFN4hpKT5Q3uPy2A+7KckQyE8otFut00wE0KDdjA4ONtvfX1du7u7SqVSRmskEdPHiyNI6ByPwkmlZmcnYuREO8uDmvhQAN4z+zyZHPYHIwmcZwORQ/HT/Z8cnUKhYLksGHVBEJjBg7DDiGMNEfysAwK21WpJOqxKCsPQUB9QPJAzBDZ0hfERi8WsmSqCn87xPEc8HrccF3gStIC+ZIRZ/XphEFPu79Ex2nyAKqAgx+OxHWMThqEZXbTQINQszZL7OVybUCP3Jpx4VHHGqVOntLOzY2gKFaxU0B4nJHmhixa66CTqokcaYAg0FhkBitULzHoUzBe1JH0IwTOAD78AuXvvfWtrS5ubm7p3757G41nzu7t375qyunDhgg4ODrSysqL9/X395m/+ppXkwxQcPHrr1i1dunRJzzzzjHZ2duz0eKx/BL9/DhKaM5mMKpWKPvzhD6vRaOiZZ57R0tKSCb9ms6lf+IVf0Gg00vr6urLZrClWn5/goUmvbAjV4HlBgN7bQShCrBAjP8DTHPzLcwwGA5XLZas68/2LYCyEFEyAAEc4+6owCBAEh4Rx6fBgUj+iApHfvp+RdChkPfHjWeXzeZ0+fVrValW1Ws2+Gw2P+XsclwHK4FEUEuDpr+W9b1+V5cOVw+FQxWLRcnuq1aoZGgjGMAwt4b1UKpmB0Gg0rIcYQnI4HCqfz1sulTcayE2hUgvBgwdKCIJ8pel0asgLIT4MBirt4HXuj9ElHRoj7CFJ9VRsTqdTM6Ckw+NHMJx6vZ59B96iOIF8MeQOvbNIYCcMSzEBBQGEIOFJKhb5G6OSLuYIc/aOZyXsSqNJWg5ks1nt7OyY0YU8JSF+fX1dnU5HzWbTEuVpUxKLxaxqE1TOGybemAK1YP29kVkqldRut20dfKuGR4Xz3uux0EULXXQSddEjDTCELQvM8BPD6o0+pFcowLwQQBQC5sGBzbPZrDWzw8pcW1vTZDKxeDxx+HK5rPF4rIsXL1pORLFY1PXr121zE4mEnnjiCd27d8+6kYdhqLNnz6pSqeib3/ymJbCi0GBoCCGVSum5556zkMH6+rolwU6nU33qU5+yo2Gw2Pnt4U2Ev7f6/UaxXiTW+rgza8R60beFMAWKmCae3mvhu3jafh8ROnjP0+nUwlKU7keZkfPBpMPwE4zhGfGo4Z8nSlcIWc/08fiswd6pU6fswNuo0OR7x01xSIceFOFCDCif20ToC5ojGV+aeeF0lfcJoKPRSP1+38Je0BdJ4Qgk30yVMCFCbjAY2FFCIGM+sZW2ENAcYS5CcBg8/X7fUDOQsCAI5krVMXikww73yJZUKmU5H3jXzLtYLJo8wODDqJFka+dzR+AzUAEQMNAxeDAakmLN/MkEDFAmnhfexxDA02e9CMFiyPn8PVpM+JMK8vn8XJWsJHsuH0bDWCaBGWM7lUpZ802ew+fEseegDyCftVrNEDWfaHyccsAWumihi06iLnpXOWB4G0wES8/H1f13vIfh4T7PEF5wMXK5nC5evGiJsAjzb3zjG9rb29NkMtGdO3csn6VarVqJO15iPp/X22+/rZ2dHcsR2dvb0xtvvKFaraZqtWrz7vf7euONN7S2tqYf+qEf0q1bt6xrb7QhXz6f19NPP62DgwNdvnxZ+Xzeklc/9alP6Stf+YpKpZIJTGkmLOjf4gkfpscDwdPyiYDe04exPBOyuV5h0wk8DENT4N4r51lY1+g8YHbfy+nWrVvvIKR4PK5qtWqJyT5xlXmzdlFvNArzR+nDfxbP/cyZMzpz5owxlv+Mv49Ppj1OAzr3R9Iwz+l0vns6oUZCf4TyyLPY3t7W6uqqGVzlctn21yfnSjKDJZlM2sG3JK9j7IDOEfIkWZ09jcVidlwQioD+OvTpicVilsPG/nItDD+qJJPJpDqdjiRZp31oEeMRDxqP2bdgmE6n2tvbU6vVUqVSsWaQGF/MG4UDfRFqTCaTZiRxXUYmk9GdO3d07tw5SYcoAUaOT/on1wZvHiVGmAXjjhYS8D3vEz7L5XJqtVpz+Sx8B8O0UqlYKGY8HpvxRx4X8iIIAgsLU3W5srJi6Ci/WS+65IOCgmogP44Kq7xfY6GLFrroJOqid4WAHfUg0U30Dxe1+qKE7v+WZCWxJKuyMI1GQ7dv39atW7dULpdVr9fNwiRRuNVq6cKFC1Zh9frrr+v69esqFAoGyU8mE+3u7lpYgTDQN77xDa2trem5555TKpXSxsaGER/KjyMXnn76afOkSagsFAp65ZVX9Eu/9EtKJpM6d+7cnMfq1441QMh5geAFBwLfx51JePRr7r1ZvGe8NpgNlMLPAcVErNwnPqJk2fuVlRUzDkiWppqtWq3aGqNYvVFx1PAEH/3tPXyfB1AsFrW2tmYhJBQN3+G6fBcGPk4Dxfn/b+/NnuROr7T+J9fKrMp9qX3R2lK33O3psadtgwOCAeYCCCa4gWvgjr+HCOCCOyaCgQuHJ8LYhAfPwIw93ttttdWSWlupSrXmvlVVrlxkfE6ezNaoffELd1G/fCMUkqoyv8v7nvcsz3nOeRnwHmgF4c8r8zwJIk8UWrfbtT5flMgTlbGXQqGQ6vW6RqORdTU/PT3V+fm58vm8AoGAoVjsBe7J9306jT+gbR7VSafTVhSwuLio4+NjZTIZQ+pAo/x1GTgbpCp5bpwNSdYCACcRZA9+1vHxsaVY2u32VEk7cyfJUla0Zuj3xwcG43QwX4uLi8pkMmo2m3bN0Wh87BNOEykIUrLcq91uW+rQc5IWFsbn9FEh6StheQ5K63GqAoGAcfNAClqtlgKBgO01Upr0eKPJbjgcNlkhrcOz4aBSLbm5ualer6dms6mlpSWbH/awd+a/6DG3RXNbdBVt0RsdMCB7/8Cz3h6K0UN9/nMeIuZnfpH5u9lsGr9hcXFR1WpVpVJJw+FQ6+vr5vm3Wi2lUilrOEd/klqtpkePHhkZmM3jlVWtVrOFJf3h+QEcYAtkipLNZrO6e/eums2m3nnnHa2urmo4HKpUKunf//t/b431qBSbNTSgFb4yinmAC8PnEHiUuM8tE30jEH5xmdPZ+ec7nrwIuoIhnl1zUAeayBGlAPNjqLgfyoAo8vPy3qz7rCx5g9/tjo/S2NraspJ9fscGCQQCFrWB2nhI+LIM2jFUq1UFAgHr04QBZaNLMkXFPvAl3BgG5i0ej0+lV6Sx0uTsON8QEAcKVIb0F07B+fm53SuVSln3ePph4RTAnQIV6nQ6Wl1dVSQSUaFQMAQnk8lY/yKQIrg6yD9d4peWltTpdMxxo4XGzs6OrTF7qt/vmz4gGkcn+Cgf3phvH8HeSiQSn+lhBHrn74ds+Z5aHnHDKWA9QOng+uBE+SrEcrmsYrFoPdloBzIajYz7R7SdyWTU7XbtCJpcLmfzQ2oYZ5z35p088oEMsnYYbO/AnJ6eWgsL9Pll6oQ/t0VzW8Q1rpIt+txGrLNRAgLMAvEzHtw/vKSpf/Oy/BzhoAM06Y16va6DgwMVCgUlk0nt7e1ZFBoKhbSxsaFyuay9vT3dvn1bg8FA5XLZBIdIgRJx3oN0iO8hlEgk1Gw2lUwm9c477+jx48d68eLFVEuAu3fvmke9ublpgvKtb31Lu7u7puR5L5SpF2aEBiPEnHhhRWCYU/gO5N5n1wBDM9vc0hubYHDSWXgwGFiaigjdCz1CzfPTTZvjI4Cbc7mcNd6jMgyS5Jvy3q+DgL3csEbA1dlsVrlczlInOCo+UvIKxHNlLtOgsjGVSpnzQuoClAiiqYf8OWuRqiIUsl9fHIfFxcWpsnGQjtFofKyPb2KKsgANk2QOVq/XM2I8bSJo2cC6IY+dTkf5fF79ft+6ryOTkJF5V1oigO4dHx9rYWHBGoOyByHe37hxw0j88Ew8T85zVugWDooH14TnwFGjSSXcF+SI4308gsZ14OJQwYixlGTn4uXzeXsvjCqpVrheGBtQN+9c4/CxrzHWvCMGH0cZBxckkufxVZ3IQbfbtZYicJBIW/Luw+FQ6XTa1lKS8eAu05jborktumq26I0JSh4CD5cJAj73MKR/GYb/jIc42SxEGD4yo2Lp3r17yuVyevnypb1Mr9fT9va2Xr16ZYjA4eGhms2mVUHQ1wh0wFfIQCyGWElkD+SbSCT0R3/0R8pms7YBk8mk7ty5o5OTE21ubqpYLGppaUlPnjzR9773PRMyFCgR2OzE+znCoDCXCBoetB8oDSIWT8JGqXc6HVO8CJ33zP11OCAWY4xS5nsYBdJefjNJY6OUzWYtgsaYc4/XCbwXav9nVkn6qKVQKGhlZcU4UbPX8vdeWFgwXtJlc74Yg8HAlHEoFLLjdpB3jDSoFY4ZG5x5IWUBSoL8wbmSZGiWR1RwtJAVz7+gQlHSVLsIroNBR1ZDoZDdD8eN44JwWkh/jUYjHR0daTQaGYk2HA7b+XY4Hzg3vvcWzV6B8weDgV2D9GutVpsyLtLEcQJZajQa5lQiO61WS41GQ+Vy2XqEoY8YoAX8oV8Y80IjS9LHvlUISBuGgjQgBoN9R9oRAj29v9jnzKFvGjsYDFSv121tMKKtVkvD4aTrPjql3W6bE+yJzzjnqVTKesnxLjzXZRlzWzS3RVfRFn0uW9kbAC/k3rP1eWA+w+L7hcQL5kUvLi6MlyJJKysr2tnZ0dbWln7zm9/oz//8z3VxcaH33ntPo9FI6XRajx490qtXr3Tz5k0Vi0VlMhmtr68rFotpe3vb7us7jWOw2LypVMpSM5lMRteuXdPW1pa++93vKp1O6/333zfhol9LNDo58LTb7eq//tf/qkqlYgqXd2aje4OAMHmlinDRvI4owEcE/BsujI9OvSGQZIRdDBVKwj8PGxPlDZQ669Vj1EajkVWXSDLje+3aNZMDcu9eNjykO/u3F14v6ETxpJEKhYIdp+GjMKI/SMKzpdS882UaROg4D6SR2LRElaBNw+HQ5Lff79vB1ThdyWTSlDc9aAKBgCmzXC5naBuOCsRu1hzFicGlTw/3r9Vq1laCv0HRSIWkUil75sFgYERjuE+UkIOE0UiWTvuQc4kyufdwOLRSfPprtdttc06RLxw+j/KRwuVd6a0lyQj4IIaMYrFoesmTvIPBoKGKIFKcjYm84oj53mKknjzix/u2Wi1Lt4bDYeNesba0wkBn+b5hrCVFBCAUEIJpVYFjAZHfn1Lg1x75AxUhzYfuuWxjbovmtohxVWzRb1UFieD7F5j1nmcjkNlr+J8THaDUCoWCQqGQlaIfHx/r8PBQiURC7733nvb39yVJlUpFzWZTa2trplQymYz1YVlYWFA+n1etVrMohgUMBMYVY9evXzclWSgUtLW1pY2NDa2tren73/++fvnLX+r09NT6tdy5c0fn5+NT3Tc3N3VxcaE/+ZM/0S9/+Uvb1Jz35hfHQ7Ovmw+U/Wz+mblkbv28+Y3keUOczcXBvj7aY72CwXE/pGazaREzSh8jLMmIlKwHcDzK3x9zwXW9TPiIh+d8XRTGXGAsfDosm81aY0FJUxEKqAF8G8818Ne8TAOuhG+IORqN7OfIkSR7J5w2WikMBgM1Gg2rWmOdUPCsBZ/zB2LjBGQyGUO4arWaKXAI9T61kM/nJU2aodLcEzSGlAPXRpbheJBSkTSVfoxEImo0Gmo0GtYkFSe00WjYu/E9UmdnZ2eqVqsml4FAYOrwaAj3OLcgeD6NQiUjXcslGX/Kc1xwTEmzwtXD+SNi5/uefA8iFQiMz7lED+FIhcNhNRoNjUYjraysmGPkU7W+ue5oNPpMmxH2Bekr0BOcXgwIJwDAQZQmR1f56lnWUpJdB0f0soy5LZrboqtoi97421nIcBaCxMv2C+QXkO97wSfagJewt7dniuXw8NCqgTgotFar6ejoyI5JWF5etrJplG21WlUqlVK5XFYgELCDPvGsgfg5aLZcLmtra0tvv/22er2efvjDH+r4+FjBYFAffvihnj59qoWFBa2urmp9fV1nZ2f68pe/LEn64Q9/qG9961sajUYGNRJ1ePIuEaaP1mejBXLMEBFRuD564Tt+I0mTqE6akEZJUfC9WW5JKBSyIyZYS98+gLWlTUAoFLLKKjbo6uqq9ZjiXX2q5E0b3efLvWzweVCSYrFovYy4Lt8hbfa6+3rDedkGHAd4SH6ecFrK5bK1imA92NiQsnFGpPHctVottVot42tdXFwYMRXEZbbKyDsMCwsL5qi9DhWhDQYOyOrqqjkdodC4krJQKNg7oKhAinAAR6ORpcbgtkmT7tmpVMoQNhwz9jz3pWKQ64IGxmLjQ3BJe0YiESMio+DpFRSNRs0xhDAvTSpRObYJ2YNT02631e12DalkP/p+Yq1WS5VKxRzbQqGgfD5v98MxTaVSymaz5nRjAGl6iyyD6uFEgkR44j1NQplL39SV6rF4PG7z4I94Qubq9brtHc9tuUyBzNwWzW3RVbRFv/VZkAw/OZ786L0+adK1l397IaAqCMVSr9dNkSWTSZ2cnKjRaCidTmt3d1dbW1s6Pj62SIdy1pOTE0s5UDbOWWeerNpoNFSv1+3f4XBYd+7c0Wg00vPnzxUKhfTrX/9ar169st46d+7c0Z07d1StVrW2tqZYLKaHDx/qe9/7niqVim26aDRqVWPMi88fMw+eEDgLm2NoETQfvdBNmI3LYs82yGSeQUtmI0Q2jt8gfm2AVKVxdIcQ+c7rsVhMq6urn+mE7KMkL/Sz0YafDy9PvAeRIUfCINTIDdEGBm8W3p2FnC/LIBXo14258ZwCn26CEwT0DrGUCkEUPx2nUVzwnpLJpJrNpsmeNEGUIMtT0UPqCyMPKkLVHyhYq9UyZ8cT9EHFvLINh8d9yeiNJI3RNJwR/uY+OD+kzHA6OZuQikkiZeaQ5rIenWL/0RuJPUZ0TWqEKNrvOZC5RqNhBo09xT5hL8CzksYVqSsrK4Yk1Wo1nZ6emvPJNdBfFBdgTEDzKErodDqSJl3JkSPm8vT01Hh0/X7fyu9J2zKnrDN8OvhuGEhJlm7kQO7hcGjoxWUZc1s0t0VX0Ra90QHzrH4elCgJIfaeJy84G3nMbh5+v7q6qu3tbQ0GAyu1HgzGVSQ+ykMQEPhcLqdms6mTkxN96Utf0t7enk3OcDjUxsaGkQnb7bYJQjgctiZqDx480O3bt5XP5/XJJ5+YsWs0GlpZWdG//Jf/0o4KabfbOjg4ULPZ1OHhoaEYQI8I45sUFsLAc/r5YXANL/SkQBKJhKUa+B7pI0mGnDBHCLJHU8rlso6Pj22zsqYIHet6cnJiQgbMCwenWCwaXA9SQQQ0++d1UeiscvRICLA9HcGRLx+1sMaz8gQkzHtfpuEr8fxc40BgJPv9vgqFgqrVqoLBoDkkOAUoxtXVVTvgdjQa9/viuiBTyAqKjjRHr9ezMyRBD+irU6/Xras3SArPTBUgexVjj5GYJd6zDqT+kG3eg6iaaw6HQ6u2xEjg3OEw4TgSfeIYsgdwKFHIOF3n5+fGOyO9hvySzsDJAb3yPDWcFxQ/CBJrGAqFrMACR3htbc2cQfQXa4ye4dxNWlXwXqPRyPqt8X1Sseiy1dVVDQYD+z5IAY4rjm8gEFCpVDJUEDQMh5l7eh0pjZ3llZWVL2C3vH7MbdHcFl1FW/RGB8x7pn7wACgEfu9JdnzmddHI4uKi1tfX7TBSuBmLi4tWCk9UksvlTAgODw+VSqV0+/Zt/fznPzdIPhwen1tXLBb16tUr7ezs6MGDBxbtJxIJPX36VNVqVc+fP1etVrPovNvt6tWrV6YEe72evvGNb+jatWu2yPF4XJVKRX/5l3+pcrlsPXzYWHj7vqqLv3lnFswLmF8w/2cWHgVRaLVaqtfr1j283+8bjEu/IEqg/TWkMaR6eHioarVqGwxjBcGbtYOrgLIjyojH45aSmRW8WQF8nVC+7nP+GWOx2BSR2HM5fOWTj0T897nuZUtBptNpU0a+9BoZ8vPMsUNwm5AVHCJpjIT4I4Mw2CA+pBW8k0S6bWFhwXoWoRSJ4Hw/KRS6h9U9egcih8H3x+00m00VCgVD5kjL4WB53UCLjmAwOHUWJCmHQCBgCA2OEmnMZDJpRHP4IdLYWHNAtifjg3jAOQNxYk6lsVEvlUoWcTMfyGStVrOD1NnLKFm4X/Cy4LvhlHF9HE/fI6zRaCiTydgZkbyHP8oJVDEQCExxY0g193o968zPKQWxWEyJRELtdluNRsP0LxWXvlKWfUb0f5kQsLktmtuiq2iL3uiAkQ9GCbF4kUjEzqbzxyD4fPPf9sJshFKpZL17fMlqs9k0cq8k21hnZ2c6OzvTvXv3dHp6KknK5XJ2uGe329Xdu3f19OlTra6u6uLiwo5jwGM+OzvT/v6+MpmM7ty5o7feekt/9md/Zhun1+spmUzq9u3bikQi1vl2d3dX/+2//Tf94he/MDIy78acoOzwij2U6xvPsYAeEp+NSPznMLwI7cOHD5VIJLS8vKxIJKJsNqtGo6GTkxMNBuNKu1lotdvtWsQEb8ULjI+CJVmlGhE6wrixsaFkMmlGhsqVv02ImQue38vELFICaZs59MLNvZhP/9wokr8tkrsMg6ar3W7XEB+cBN4B0icoD3yo8/NzZbNZM/S9Xk/Hx8daXl5WKpVSpVIxLgvKOJFIqFarGeoiyaLqVqtljkkqlTIHCgVI5EZ39Xg8bo4PTptH2jDkEJmHw3FPqWq1as5FKpVSo9HQ6uqqPW+/37dGr1wLZ7LX6xmqRsoTIjz6CGUMR40ms94QlUolQx45pJj2H5Kstxr9tdBD+XzeHFaqPtFrpE5xLj03q9FoKJvNqtfr6eTkxJzC8/NzS0eNRpMmsSBpkOUhzA+HQ/tuMBg0fcg9eT8qRHl3r39IcYJEYJRxNEEuV1ZWTF/hhL3OmHzRY26L5rboKtqiz23E6h+cxQSSpcSb8nCU928zUKj+O3i6Hh6nh1CpVFI2m9X169d1//59Kzk9Px8fmlupVJTP57W4uGjn3pXLZSUSCX3lK1/RwcGBPvroIw2H4yMFMpmMPvnkE1WrVSMhX1xc6NatW2Z8QCn++q//Wr/4xS80HA5VKBQsteCjL1IwQPiv8779O/rP+P/7z1M9BSkyl8vpq1/9qhkM2hP4LuYYb5CW0Whcdnx8fGxVZJ78CzoCd0Uapx84nw7ScjQatY7n9KVB4GaFnf+/6W/kSZqQkxOJhHF5uJ7fkK9LJ/y/MHxvG1JJ0kQWSAOidHxqkB5CCwsLqtVqWlhY0I0bNyzqZE5ImbFfE4mEkfVRWqQ+kA32TzAYNMXS6/WsStDzgHw3b0mq1+taWlqydQEFa7fb1puHZ5TGHCm66/t0BFV/oGc4kzgIHKHk03kghMwt18FJ6ff7RmanXN07MaTmLi4uVKlUjGMnTY5IYs1ITUrjyJ0u+ihr0BF4OFR7gsxBugdlZLBeIBX+FAH2BfPide5oNDKnlbXCwGP0OPaINcGp6PXGjW1BXHDsQdyazabN4yxKcBnG3BbNbdFVs0Wf64DhIfvF4oaJRMKqj7wC42+UC5/HQwcB4Nr9ft8mtt/vq1wu6+TkRLdu3VK73Va1WlW/39eXvvQlffTRR3Z8BwJHlFmpVPTee+9JGpePAnFev35d77zzjl6+fKnj42PlcjlVKhW9ePFCW1tb2traUiaT0c2bN1Wr1XR8fKzz83P9wR/8gT788EN961vf0mAwUDabNfKk78VD912MK4KPwkXIPPTLvz2h2EcmzJU3FhyJQql+sVi00uVIJKJarWaoCpE2872/v28Ea0i7pEp8ObE0jlIajYYd+gz6QbXb657bD///N/1OmvSRoa8VES5yxCbFEL3OMPy/4IgFAuM+XTRL9eRhnKJgcNJ3KpPJSNKUU4RhoWHpYDDQ5uamVWV5zhXzKMn+TwTn043wL2q1mjldgUDAkDIMN5/BmfOH34LsSbKUhDc6OAA8O2cP4miSkoVQTxViJpOxI1vgfgyHQ0OX0Bcgfew9iOY0aKSqjDmAzE7aB7kn/ch+xUnieCYaR+LwccQTabx0Oq1arWZNZVlj9iPOZjgcNt5eOp021I7PclTVcDhurup5QyBwnhdHuhPnkRQtaVR0IzLlCwAo7CB9SlNWUpiXacxt0dwWXTVb9MYQgSjZ98YhAiYqB/71UJ1/OO+R+j/+d1QdBYNBO+wSxQxU/8EHH6jdbuvjjz/WcDg0Zc3xALFYTI8ePTIDcPfuXVuYk5MTIxgXCgXV63U9f/5c7733nt59913duXNHX//617W+vm6VYjdu3FAmk9Gf/dmfSRrzeHxZLBtamuTVeSefdwcdILry8+QFhoX2XAyuEwqFrBNwIpFQoVDQvXv3tL6+rs3NTWUymak8uq886fV6Ojo6soiDe2J8PVmZailIkjxrOBy2iI5UmRf41wm//7/PnzMHs6kOIhw2LPf1ynE2+vXXfZ18XZYBcdejGVQRSjLOCTJE9AUagnGGzA75OhwO20HSksy5A5kqFotKJBJGVB+NJpWNkHelcXoyGBx3a+dsRg6chc+BExQOh6fQKDgh4XDYOlWTrqDdBDy04XBox/54dEiSrT0IFoZxe3vbUnWkDkDX4EHhSICseUN4cXGhTCZjpOFgMDjVOZtWFTiBEIwhq8Ol47l8Py4qFdFTS0tLWltbs3YEoIvsSfqwMWeRSETHx8dWHAC6hqOKYzu7FjhjoGw4hSBz2WzWuHJw0HDa4RZyv1mnXpoQ+X9bBOl3Mea2aG6LeNerZIs+FwHjBXwvEBpAYkxmiXavi1BmhZ2JZmGWlpbMy6UyAsj/nXfeUaPRMLiXqPX8/Fzlcln9fl/b29vGSQkGg7p9+7YODw8Vi8VULpdVLpetEqhareratWu6d++e9UFaWVnRD37wA4tEVldX9Z//83/Wy5cvLRIkHcH/ETCMKYqfjTC7sLy3Fw4Ppfv/+7nHeHGW3OrqqgqFgjXgJHqgaZ+PdprNpp4/f26Ki8iIiI3UiOcYjUYjnZ6emiIOh8Pa3NycaibJJubzDC+0swNZYU78HFHW63/mydOv21R+bmfl9TINjAJIh49MSUFiBFmDVqtlJHqcHa7B8L/DKUJJUB7P3OHshUIhlUolpVIp672VSCQsumS+uTZpFUjBXB8+EWvGvo3FYqpUKoZGkELFeOEQ9Pt9K/mXxkgf/Dev3Oi9BXIFckd0Sll8qVSSJEvl4pTBiUHhYyDpuQY6xzN2u11r9ZDJZOxQZjg5kqyajfQHStkT7jniBx6MTxGhJ3CGMG7n5+dW8Uo6NxqNKp/PmwPsUyaJRMIaf6Iz4I5dXFwoHo+r2WxampHngiwtyfTsLBfH818u05jborktukq26I0OGJNA1I3QSxNeC/9mkvHAeZBZshoGCLgXWL5YLOrs7EzNZtOEKJFI6ObNm3rw4IH29va0tLSkZrNp96Ox43A4VLPZVLlcVj6ft1RKIpHQ5uamTk9PdXR0ZIThra0tfeUrXzHB2dzc1P7+vnU5vnHjhr7//e/rhz/8oW1gDJ8vS8dAwS/xqRgEGeXNMzMPvtKDCA6hoNJptoSV9A8wrM9R+3MGPfR+cnKi4+NjSdOdgBFcoGAMOZuSnD7ruby8bNeAe4QiRND4w7WQIQafZYNxLQwZTgIyxSZgo8wqkddFsK+Dob/ogaz7ykN4OESYvDvNBnHAfDf0aDRqxiAQCFgaUpqcf8iebbfb9nOUJc5MIpEw5CQQmPQiwxmCy+FTZaBt0mT9+CyOIjLv22Igy/wfUj8RZq/XUyKRmJIjnEGMBM+Vy+WmiNikzuCWgZLA0fH8EuTMc74KhYKhcr6FBsR7yt5p48FzE+EzB574T88ouG65XM72EWvCu5EePD091dbWlgKBcfUhh3jjPOIUIg9U1FJ5xvxh8DiPECNPJSjXGg6HpqtxtEAt4et4RPYyjLktmtuiq2iLPhcBm/WS/U3ZBEDDwI0+6ngd7MuDoWhRFpCMqSaBd/H8+XNJ44gULxmj1Ww2NRqNLD9/cHCgt956S+fn59rZ2dH6+rru37+vV69eKZ/Pa2NjQ+vr6wqHJ+XCwWBQP/3pT9Xv93Xr1i2dn5/r29/+tqUG/LvjDUuyCAmjwL991M6CsQmYD8854Pej0eRIGu7BfHJf0iN446SFiPrhA5A+efbsmUUcs0LDJkF4UcSkXEAE4K3wLGw2v1Fm38G/K2MW4vYRFwgPm4z/z8qcXwc/fLRz2SJ35golwnxiQDHWkUjEDOLS0pKtZSaT0cXFhWq1miEZzLuvGEK5YshpnIqTwfE2kUhER0dH2tzctOgTAiyIEmN/f1/Ly8tmrH11mVd6KP1Op6N0Om39tUDtvMwiY7Vazbhc/ogm0q2k66iAIwWCU4rhgZvi01IQzlHqzJvnliAv3W5X1WrV0qbIfKlUmjoDLhAIKJ1Oq9Vq2XrCV8NhBdmTJmnVRCJhhhEHinvDWSqVSqZDqJTFIcKQYDjZ6+1221I+yIMn7pMWRaaQp0ajoUKhYOlXjyT4dNFl44DNbdHcFl01W/S5CBgQ4uyNPOSJcvK/Y4Jm4TmiXiLOWCymlZUVPX/+3NIBKBA4KcDteKcolkgkYovcbDa1s7OjJ0+eWG+Xzc1N7e3t6dmzZ8pkMvrGN76hu3fv2v2vXbumdDqt7373u5aW2dra0p/8yZ8YsTefz2t3d9feBSWIEPg5Quj9YvI94FbvQUNM9IoOMqzPMxO9SuPo4uTkxHrFdLtd7e/vTxl50JYXL15Yua8XKi9Q0nTHY5QK0Zwk67oufbbvCXPABsYIsN5ce1Zx8rykibzQkuKa3Th/m/DPytllG8yjPzsRVAIiN4dq12o1ayWB3IBS+S7bnU5H3W7XHASUTaPRmEpDUPVHlIeyvHnzpskjssph3n6/bW9vT0VyyNhoNLLonsaVKF7kGmcmEolYc8NQKGSf5/68C8R80B6eC8NK2o8oudPpqN/v23MQLdMXCQJvoVAwPQJK5VOoyWRSwWBQlUpFkqb6f5Gq29nZsf3ImY35fH7KeZSk5eVldbtd1et1pVIpnZ2dmbNDypS1Ojs7M6Nfr9et8GE4HPOK2HMYMfQjawnS6NPOXIO1QI/5tFI2m7V5Z02RT2lCNvaI0Rc95rZoboukq2eLfqs+YN4TnM23MzH+QT3s66MPPh8Oh61cfW1tTfv7+xbNkQJ49eqVNjY2rBqH+7TbbTvPLJvN2saA3Ivgd7td7ezsKJ1O6+bNm7p+/bop2/fee88qwX74wx/q4OBAkvTlL39ZP/3pT7W7u2s5dNI6CApCT2pCkhlJYOxZofceNoJHpABCUK/Xp6J5P2c+mkD5QqK9uLgwKJxrYMieP38+JVREH0Q0GDbIjhhJ+lbRAJOmhAghQuwh4NkIw3MHZoUWGSFSJdLhMxgUPw/+Gq+LPi6zE8b7kUIbDofK5XLG9yFqjsViyuVylkaiJUC9Xlc0GrXmnaAqoGY4L1T/wVeAVO07rePIsM/oQRUKhaxL/Cy6hjyAxMErQmH7iJd0py+D557wsiDE+0OicWQikYg5aJCNSY/hnCDLHLfkq/kgUWNQs9msOTwoZfgjyHgymbRrex0GYgUJXpqce0frhuFwaKghxQaj0UjFYtEQwFevXqlYLNra0Fet2Wyq3W4rnU5bZSnpRm/8qV7knSKRiB24nkql7L1DoZAVZXjEEPQMfhj7GmMFythqtax9B4b6soy5LZrbIt71KtmiNzpgcEyAPlkE77162F+aCD9eufccgYlRDjdv3tRoNLLGkuvr63rx4oU6nY42Njb09OlTE06UD52DNzc3VSwWJcnIeeVyWcViUe+88456vZ4+/fRTRaNRXb9+XV/96ldNOMgj/+hHP9JPfvITLSws6Pr16+p0Ovrf//t/WzTbbrfVarVsclkIiMmzSpmo2+fZiRx8CoGFJ11Uq9W0v79vFVxwb1AYcHJ8FJBKpVStVlUqldRqtaziht89fPhQh4eHhhjAHYDszXoi6GxYmnhCCI5Exg32EFT+sPmQBS94Xhlyb5Q9YzQamYHCiCM3PmphQ72Jj+IF/vNy7l/U8BGk722DMccZQVl6Tks2m7UGmqBAwWBwqjcXqQb6UfHdwWB8FBEkdxAonsfzgIbDockCKJrvCxUKhSylxfNIss8OBuPyeK94QAtIF/oUXKlUMv4S1ZAQYGnmSAqO3lpw2nBkpEnne592w2iFQiFVq1VlMhlrQCtN0ilegaOAkU1J5oRhFEqlkpaWlqx9BEaOeScFy3oGg0EjvqNHWbvl5WVrMULaEbQKR5i96o8mYj6YW48QrK6uajQaTbUmYP7p60ZvKs4KxblHd7NOlykFObdFc1t0FW3RGx0wIiAUvvcEiUiJpv1mkDSlzHgYNsBwONS9e/eUTCb16NEjRSIRrays2JltVDIdHBwYZI6XCkmVxXj16pV54deuXbOqo6WlJT158kTBYNAa2gUCAYtWOp2OPvroI/X7fa2tren27dv6T//pP1nEyyGhzWZzyugxH1RjSRO4l9+xuCwqxouIyxP/mMv19fWpRnYobEiOiUTCNh+luIHAuGdQqVSa6gfU7Xb1+PFjNRoNEzw2HWmFfr9vaS6UdCgUslTYaDRSvV7X9evXDe7GOZjd0JKmBN9X6s1GDD4y8JuGZ2NDeoGfjSz4mY9ovYxdtsHz+/QISoBzFZn/V69eKZvNmhIgCmQ/oSiJHlEo0oRkTOUeSo60GHsIxYeC9uc+8iweKcM5Ozw8tLPR+INTwHvu7e0pk8komUwa8oZjJ2lqjUgD4oiSxqBvGfvF89x4Nv4NYRhHDjQHJI7TAZgzemzhWLJfPFqGs0e6ln5h9B+SZIgle0aSOabsXfY9a87PcJCq1apyuZwd+O11jDRBBWmTwVqz73EEWAucCX4OmT8cDk8VCoCMwoujghbZ8enOyzLmtmhui66iLXqjA+ZhNf6PQPuHZszCwB62I3IbjUa6ceOGFhcX9aMf/UjSOGqLx+MqlUoG40tjPgV9Q0gTSGNFx9EOh4eH1pSOjXd0dKRut6tr164pn88rn89rc3NTT58+1e7urt555x195zvfUafT0fb2tj744AN95zvf0cHBwZSBkSaCy3ux8AgClRNscqByCM+vmyO+B7xJdEtFk1cOpIY4GJR0CAJOiS7Qab/f1/3796cOhZUmigujR+TL+/n15v6eWOwJjn5d/buxvvALEHhPiOVz3I+fE214IrD/3OyfWTnl3pcRASMlgRNEygDkwUf36+vrVs0G0RpnQJKlCT3CgfyAgi0vL08di9LpdMwZYW05DJrUHG0LgN2DwaDxxzBEHCkECiBN9ke3Oz7ncmNj4zOKj9SJJJNRnAQMPcjY6empOTSgRxy34xuvwofDeeT+vkLR72Pek/Qsn8cgtVotMzKh0Lg/GWmUbrdrTol33OLxuBlQ1oO0KGlY1hmj46/lS/f9AeeLi4vmUCAbnN9IqocqWtaA1A1pIpQ/fBhpWgd440ExCHw9UEb6yl2GMbdFc1t0FW3RGx0wD9eyUZlAXgbIk0jYw4EICy8Vj8eVyWRUrVb14x//2CrANjY21Gg0VK1WrYT1+vXrqlQq2tvbMyHEiMTjcROOcDisly9fmnCk02lVKhWD3SE0NxoNBQIBbW5u6vHjx3r+/Ll2dnb01ltv6cMPP9TPfvYzeycWHhgXLxtBfJ3Q+/mgHJjFAQWY9dI9fI5xoVTdzytRTafTMej86OhIiURClUrFovRgMKhqtaoHDx5YusYrWzYmVWRe6H306KMKDP8sn2LWw0cp8HPSaa8TQv88yAfkTiIk3t1vSD9vXIN7zP65TAPDTV+pXm98lMfh4aERwD3vQJLxKnBkMKS+OhDCNV3yIYejhOGDxONxHR8fW3NDfibJEDGUYqPRmCLC+rSoJENvqOhMJpOWogOlwihKUqVSMacT5Xl+fm49lEi78Y6kO9AnzWZzKi0IGkXfpVu3bhmqQ18x5oz/UwlF5IzMgVhVKhUVi0WbB2m8ZxcXF61XF4YYRAMHFb2E04mD6iu3OJi81+sZeVvSVOoYJ5X0C3uA3l+9Xk/ZbFbNZtOMHE4lc87xUyBhIBWsmzRp2ul5eaQy0c3wgXya+Ysec1s0t0VX0Ra90QGbzZN6LxFokMjVL+qsp+1Hv9/Xo0ePzGisr69raWlJz54908LCgnZ3d9VqtbSysqKPPvrIvP9isWhdvGmUVyqVdPPmTT179kyhUEi7u7t6++23df36dcsnB4Pjfj8Qc1OplPb29rS1taUPPvhAv/nNb/Sd73xnKj9NKTf/xrigzPHAQSMwLCgGX8qP8fCN3TwREiUuyRQ9z4IiIQeOcie6qVarpkwCgYBKpZKePHmiSqUylcLxEfKs8EDEZiOztkT+vhqNP7PCPRt9sDG9sL5O4Eej6So/eizNVjLNCj9yyH38hrtszpckQzdAM2iPQDojEAhY2TtpO9ARZJ4xGo0sss3n81ZphLPG3OLYBAIBNRoN40Cxlswx8kfqifvCv8LxA/GBVOvJyMlkUmdnZ3ZESTqdVqPRUD6ftyICUDNkiq7scJ8g0oPoYTxpSHpxcaF8Pq9Op2OIUDwe19nZmSFRzJt3UD3PBMfM/4yjfZjbwWBgLTtisZg5hzwPDidGisOucWAzmYztCfY1vcdIJYPcnZ6emiOMLvHPiIOFcYR0DxqAA4AjB2+NFibekd3b29Pq6qohcxg+jC57h8KH4XA4JXdf9Jjborktuoq26LdCwJh8HgglRy7cCz7Kgu972JGDRXnghYUFbW1t6dWrVxZF1+t1U35EcvBUjo6OtLCwoFQqpWw2q+fPn6vT6ehLX/qSpWvu37+vr33ta9rc3FSpVNLBwYFisZhxIag+WVtbU7lc1ne+8x3L4/O8HrZngr0Hz6LwO4QDpewPRkaAmBu/aVhwNgfRmffYmdtWqzW1MRcWFiyNQTS+v7+v3d3dqUo2H+17bx7eAPdEWL2AkTLzGwUhnxVi/z2M1WzUMRsZMAdsKp8qYO65L//mnXwagfu/Sdl+kQOEQZoQXpHFTqdj1VQQT0FF4Bl5aByEAycOhYfscWYiaTJJRrBGKbOGo9HIuFrwTUajkSlI3z8KuWOevcJHvolkMTAgXyBrXKPf76vRaCiXy1llJ6k90o/D4bi6EF3Q6XSseSUpAtIqoEsUGrBvwuGw9UKLxWJqtVrm6HKAcigUUrFYnFLUkuzAa4wVqVhPaiZCZo6SyeTUfvRROykZnLbRaNyI1esZHFSui4HDmSO1hQ5CR/r+SPV63ZxtnN5oNKrNzU27Vr1eN3kiFc06YthB8S7LmNuiuS26irboc/uAecFHEKiE8hGWJ/z5vDGT4TcDUeDFxYUpX0k6PDxUo9FQNpu1niFwESAuHh8f6/r161pcXNTq6qo+/PBDbW5uKhqNKpPJWPRH/55ms6mjoyMFg0Hl8/mpDsb/4T/8Bz1//twqqhAAPG7eAyH3HrMk8+yB6olYga7ZJKQcEBoEUpJ52ggFc83vfQk692QNUOo06Xz69KmVocM5IZJl7oGjfdUQ12Q9Z1M1vIdfS56X5/JRARt9NiLgby/0yBhpIi8/s5tpFi7mfrPfvWwDpelTAefn51PrTmoL40dKAfkBRcJx8Twf0BL2C6gKhh6ZljSVHqMP1WAwsCoujJg/x5EUCw6FLwTwh0UTmS8sTM6xZN/66kgM12g0spQs78y88BxwqIbDMQHaO7KgVRiDhYUFIwGD/nGPSCRiKTmfQvWIAo6npKnCBP545xn9QBsLUlKSDDXz+2w0Gtk+xHnu9Xp2QDvPmMvlDLHgnqCDOGxeltgT8AZxptDLvj0HiCfIIrLX7Y67/pNy4t6Xacxt0dwWXUVb9EYHjAv43OZwOC65JvLmyAwiWDxJ/12/iESVXAvlgVBzyvmzZ8+mcrJsDJRXvV7X+fm5VlZWNBgMlE6nbcEPDw81Go2sG3ixWDQlm0gktLq6qm9/+9t69uyZpGlyIx4zhslD9CALRFtEnRcXF6aUiWA5IoWF8X94dxaX1IGPAIi8UZ50GSYKQckAG+/u7mp/f98MGUadMSt0/ll8ygEBxPizeaicmv2ulw8fJfhn5Fm4pjdqHk2QZPMKCuSHjwRRFMwjyve3hX5/l4M5YK/4Y4aCwXFDTWSdXkPeQGCAQXJwrHyES+qBOWi1Wmq1WtanyMPsKDrWl5QW/+aZcbSQe9Jc9Ioi2gaBYW/79hgoUOQFlAU90ev1TLZ9FaE05nDxHHxnYWFB5XLZ0o28M/elnYUk61KPEsb5QWmSyvUGHGeShrI4aPRAg3dH1SEOI/NDimZ9fd3So7SJyOVyCgaDpusg4+NgsgdwPH3DT/YTewpDzLOzhgzaZ7DmzJP/LARteHW8q3f4LsuY26K5LbqKtui35oDxAMD/vBiTNOuRzg7/cyYgFArp+PjYNku73TYybK1WM0IxXjrKr9Pp6NWrVzo8PLRUCJwXBP/09FSFQkG3b99WMBjUq1evJEm1Wk1/8Rd/of/xP/6HLRQCzruw2Cg8UARIjXwegYA46wWAyi02EnPJc3ql7+Fgolh/7ATVcnyOqIhnqdfrevTo0VTlGXPuNyk8AqrauCdr6iFujJZvjOe5A1zfp228sBFleuP7uoiDiJ7IwUc7/JvvIOj+Xmxa1oz5uUyD9CLoA9wK1ph3RXk2Gg1DVJBRyOkQfOGLzcLmpN2CwaA1dQWZCQaDymazhlZFo1FVq1XjXFF1BRqDk+jJ6cFg0Ijg0pj/RSoC+cM5OTk5MWQFVAoZp5s+77CwsGCViOgTZA8Z4b08r4XnA/lrtVqmwEldnp+fW5sK7uXTsu12W7VaTcvLy7b3SONwPQ5WxhAyb5FIROVyWSsrK3ZN7kMbCV/OzjqxF3GOaR3C7xOJhKEVvAdrTwqINYNjhN4h7cl6UPTgHY9wOKxqtarV1VVDxqQxSoPOwBG+DGNui+a26Craos/tAwZUyYvM5oV5uVlhn52AWahwNBqTAWu1mkUH/X5f5XJZ29vb6vf7BuXzPbxXot3j42NLASwsLNiZeouLi9rd3TXvO51O69e//rWRKR88eDD1zBgxFpuJJOVAVRKLh6H0ULc08YDZqM1mUxcXF1aazCAC8l46c0uqAOXskQI+x2cgdx8fHxvRdzYSRlB8zp53Rej9+uDtw3fwlVZ8hvXj336NvJDzbp4j5P8wUAKgHHAw/He8DMxeg+iN95jd/F/0IKpFOSNj0kQxMd9eCabTaUN66A7P9RjIkk9dgOCABLCOEM6J4iORiJaWlsyRQEYGg4EZZJy/i4sLnZycWGRK1SUy6o0fe4dqQRwaZJGoEqIvLRzYU1RB5fN522P9ft8QGRAPnBLQNp6JPdButxUKhbSysmLzAz9HGqdCeZZkMqlarTblTFIJiTzCc4lEIlpdXTXnihQWxjqZTH4mCuZ5fOPMQqFgz4MMsMbD4eTIluFwqHQ6bXsJ9ITWEbw/Rpa0pSRz0EAvSf0Oh0PrDxcKhaaqWnlub3i/6DG3RXNbdBVt0eemIP0LcCM8Xt8rw08ci+/H7KbwnvbZ2Zn29vY0Go3P0bpz5479jgiR1AjVPUS4z549Uz6fVyaT0ebmpsLhsB35MhgMlM/nlc1mrVLlyZMn5nV3Oh1LSeCpIhR+Dvi/5+VI+ozQ884QNekDRJ+gfr9vZ/f56hU8bqJfohj/O6Ih5g4vezAY6PDw0IwBG4Z1QPmzeaTps978dVHcpJ5YbxAT3tlDrgi5f6ZZBUeE4RWejySozPIRiUdcvILiHrPwMXNxcXGher2uL33pS28S7d/pGI1G1vk+FAqp0+lMcX6CwfE5hKTQIpHxUTNra2v2TshdMpnU3t6eoS2+XBrH6+zsTIlEQgsLC9YzanFx0TrP4wyxD3AWiKrhjSAXGPZMJqNIJGLcjeFwaE4QfalACo6OjlQoFAzxkybtKSgewOkLBAKGQCHr/vM4df3++HgiyP8YAPRRu922cxxJ7WKUSYtyjBKOKR3lO52OyuWycrmczQUOGDJH/7VAIGC9uihgIAWGEUFGfWSNw8s7otMwXnDt2EOkQKlgRP/Q4417w69jnkhLwwer1WrK5/NmHGhXgfEOBoNmlDH06PnLMua2aG6LrqIt+q04YP7lA4GAlZDPCv3s8DnR2d9TMr+8vKxGo2HpBWBd7kW+mf8jQJFIRDs7O9rd3VU0GlWpVDI+xdnZma5du6ZyuWzGJpfLqVQqKZlM6uXLl1PcAP+M/BtFhNIC8uTffJ8IgIkn5w4/AYVYLpfV6/WmKr5Q/kTWlLdzHAOdrL03zlxzDxQQgkv6gc2BkfI9XeBK8D5Ec/zcGwwvaHAj+JyHyvkc9/CyMxtB+D8YJc974tn5mzXx8O6soJdKJb169UpPnjzRkydP9Ed/9EdvEu3f+YDPw5wmEompA7eRAzgkpVLJEJxms2n9wiACg2zgXLHWw+H4sOBqtap0Oq1AIKBcLmcoGVWGEHupwEQWYrGYlpeXLcXZbDbN2eAwYiJE5A5kCWUdDoe1trZm64bcggCSauj1eqrVaur3+1pZWZEkS8XyLkS/pDFbrdZUSiYQCBj65Y0XKUJIv/CsfAFDt9udapp648YNS2fyLJLM6LA3SVFRrMCegMx+dnY2RYD2CCVpw3A4bOm+TCZjeygWGx9xAzl/MJgc78R+8/xB9CWpIvSyN3A4X8PhUI1Gwwzw4uKiOcy0nPBG/TIhYHNbNLdFrP9VskVvdMCAEH00PBgMLB2CECaTSXv52ZdkYvkuP+90Ovr93/99Xb9+Xbu7u9ra2tLjx49VLBZVKpVMgbB5WLRQKGTnQtFZOBAIqFqtGqnx5cuX2tnZseNIOFl+ZWXFvv/gwQOL5r3HjxCXy+WpfDQRMe84S8Lj+6RVILgSWWIwKpWKRTvxeNy6KJMKwgjzN5tnNBrZQcwYjuFwaI32MIjMEQqbeZ8VRgQSmJs1xjDG43FTwIPBQI1GQ2dnZxqNRhaxe+gYwZ+Fyv3mY+0R2G63a5A4v+d7GAyiHJ/aIr1GW4GnT5/qJz/5iZ49e6ZarXapuCuSLIrznAcI4JLsEF8O2IZAH4vFjJ+FwmFeSBlh+FFWtVpNhUJBy8vL6vf7U0cdoYCpcCTyRX58dOebhg4GA2vfQEqhVqtNOVKsjXec4ILRpBFOBE4O/CxQKzhTKHXaUJDSC4fD5mx4FAzljIPa7Xa1srJiFZb+XLt6vW4oIw4IiCQGhudE/vgbDgvv3Ol01Gw2p3qsQcoPh8Nm9Hgm7yiCmtGgl3RLpVIxXp1H/Oi7xJ7DEUbvlsvlz6RL2d+grTih/Nv3ZsMRxUHGobksY26L5raI718lW/TGHeaPuvCwKBEv3A2EnIlkAzDBPqKEB/GHf/iH+jt/5+/or//6r63BI4tIygLjgofNBNRqNUljD/u9997To0eP1Ol0VCqVdPv2bT158sQEFuPVbDbVbre1sbGhf/AP/oECgYA+/fTTKWHASPq8soe9/XuinCAH8p6+eSXEYyLwbDZrwo6AA3fyPihHNhj3ISLzPJnhcFzmv7y8rEqlYiRmDDvK3m9s3gfB80rJ8wZYQ96FTuO8L8YYp8ALP0bMV5Qxd5CHEW66Q/vn8sNDwcFg0Nax2Wzq448/NmE/PT3VxcXFVPPMyzKIzkBNvOx4xYPCiEQi1nIABci8UDV4fn6ufD6ver1uvbw4JoQIlfmgeShE9mazqX6/byhXLBZTqVRSOp02ZccZirMVQOx/DpwmCgZZIzImxcmeBd7n3fkeh1iDnjEn4XDYzm3ksxgS9gCROilQ9g7d83O5nJ1pR5pqaWlJ1WpVGxsb9j7IYL/f1+npqfL5vD0DyrzRaExdIxQaH2pOahAuC04vKdtAIGA9yILBMcfK83zYYxgK1hKDBz+Ha8M7Iv1L41dpbOySyaT1ReP9SWfGYjFzdlutlqFHpJcoBMDwX6Yxt0VzW3QVbdEbHTAfDULiBGrrdrvWcJFJ4g8DqBYPmOj361//uu7du6f/+T//pz788EPdvXtXpVLJeBG5XE71et0WezgcKplM2s9Ih1DdQ/l6pVLR/fv3lUqldPfuXe3u7mp3d1eZTEapVEq//vWv9cknn+if/tN/qn/1r/6V/vRP/1Qff/zxZ8rAUZAe2kQ4PEeDxfBcCZ83bzQaCgaDSqfTymQyKhQKJugICwqW6IV7sOBsWjYaBjuXyymXyykcDuvtt9/WwcGBPvzwQz18+FAvX740JUXkOLth/f9n4V/mnGo9euSQ+sHA+/w8RsJvWq7DpkCZ+DmFtDoajaZQoVm+B4r24uJCjUZDT5480Q9/+EPdv3/fCMfJZFKpVOpSdfCWZLws31gTZAKD5/kMoFigEZCtg8FxFSOfA0XxZGxkxzdgZP3Yp/QJI0qNxWIqFApThp7vSjKE4ezsTKlUyu7P70jhJBIJWyefxkLx0ZkeGcEgoFRxXnA6PbeHdOXS0pJyuZxx2uDmeE4XBhTFCo+L5ydNCOeKuWd+0VXD4dDmoVgsWuRLb63t7W2bbyJynBzeg32Ig8d14dz4CjJvmHhnf1aeJEtFgViCjFHByvPgOIRCIUvdks5l3Um5IFsczcPcXaYU5NwWzW3RVbRFb3TAqJrCa5Qm3BEqa4LBoB2x4vPvvCC9Uogm3nnnHUWjUf2X//JfdHR0ZAJ0cnJip74jGCxYMBjU8vKypRBarZZOT0+VyWTU6XR069Ytlctlq1y6e/euRSGDwcBy8xyo+pvf/Eb37t3TP/tn/0yS9OzZM5vgcDhshhHlz6IhIGzi2TJ5BN4Pn1/30QnX97AmY/YafkSjUaVSKUNFgsGgisWi1tbWdO/ePVWrVf3sZz/Tz3/+c7148cKMqYeE6QTuNzDvRJrk4uLC4HzfuVuS8SJ8eob5412ISjwcjlxgiJAPyoyBxtksPhqiB1O/39fx8bE++ugj7e7u2lwtLi7aIbGXbRCl0VQUOUVpVioV661Fmos5Y31AKSRZtVW/37d2Fb5nVLlcNsPN/XF4YrGYpdtQFj6yg9gN+uLJ9XBipIlB5BlZo9FoZHLj+4thUOAvnZ2dWZUjyg6+EwgOUfZwOK4CZG/SoTyXy70W8RiNRjbHRN1wWzznCVlDjkn5Ylh853t+xh7u9yf9nzY3N6d4Ib1ez0ryU6mUWq2W6SqcNwwEhHi4RIPBwNY0EAjo9PRU2WxW0hiFo7AAlBR+HAUMXCcSiajZbCoYDE4dyQS3h8pL3/cNQj9zj9N3GcbcFs1t0VW0RW90wG7dumXevM97ohQR+nK5rEwmo3Q6LWlCWkPYg8FJl++Liwt997vf1e7urpaWlnTjxg1LEbCZarWaTQ6bC08S8un/+T//Rx988IF1Jr5z544kaW1tTfl8Xj/96U9VqVS0tram09NTFYtFS4PcvXtXw+FQH3/8sb75zW+qXC7r5OTEmhCCFnhon1w7UcLrog08bzxslD0/958dDAYW4TOnXJeFxihyba7j+Rmkr0glrKys6J//83+ub37zm/rRj36kv/zLv9TTp0+tko7ohqiEMnRpuo8JBgl4GOI1EDZRqG+x4JtXwjvhXhgNH8USiXI/lKaP6JgTjPbjx4/14x//WB999JHK5bIplFQqZSku36bhMgzOC/SwO4ry7OxMxWLRWkP49ffvzrt5+Bzj6lMtvr1DPB5XtVq1tSbtkslkzNkDrcIJgudxenqq1dVVu184PO5PBqLkURqUGnuVFBkHD6NIcU5YY44W4mee00RVpKSpuel2u1ZUQDRMdMweIv3i072SDAXyUT8OoDTZ5xgn2kt4Dh3VXVQ8wtfjulyTe7O/qL4cDoeKx+O2rtVqdapyE6QRBxFEDrIx+imXy00R94nmPVoijY00/aiWl5dtzZeWluxYKwoVMEY+VXRZxtwWzW3RVbRFb3TA3nrrLV1cXJhQkNtlUVhUyGakInholApnRZ2enurJkyeqVqsqFAp69913FQwG9a1vfcsedDAYqFwuK5/Pq1gs6sGDByb86XTaqrJ+85vf6P79+/rDP/xDDQYDPXnyxASgVqvp+PjYulGjsAOBgNbX1xUIjPuWfPrpp2o2m3r33Xf1V3/1V2ZsfJ7XQ79sOKJXBAeBZcP7yAuh8LwB8ul8zitLL/jcF4iUaIxUA6Rb5hoj1O/3lUwm9S/+xb8w4f/TP/1THR4eGmmQtfPzjoATAaDcAoGAEcSlca8UKq5Q6L6qBoPuDwTmep5oTusANh4bjgjIpwu63a6eP3+u733ve3rw4IGi0ajxb1gPIpDLlDqRZL2V2LgcUbKwsKBarWaOjTR9CG6pVLJO36QiPZEdZAZiPYb1/PzcCNUcqYPi5tooU88t8i0pVldXTckFg0HjusTjcXsO0kB8h+ccDAaf4Y1gDKjslDTFqSEN2263FY1Gtba2Zo6RJ5Cvr69Lkn0vmUya7JycnFjFYCQSMZSP9yBd6VOJ/X7fSNOgku12W0tLS0omk/a+GHhpko4hYgZxY7+STuQ9fbsKaYxkwSkiosYJQi/w3MPhUAcHB9re3jZEz6MVoVBoqsgBx4FrMg+RSMTI46RluDdrxv4HYW02m7+D3fHbjbktmtuiq2iLPjcFiTJBCTYaDTMk0sRr9ZEGgoPCQvkAq6fTaS0uLqpQKOjnP/+55dMxEqQ9OCsLZcbPqGI6ODjQw4cPtb29rbfeessqIg4PD40DQxS+tLSk1dVVdbtdnZ6eWlXIs2fP9M1vflP37t3T48ePbZJZYP72eXFJVhnC+/qcNoRWqr1YPOaKjSNNymXZDAw/h/47RDTBYHCKUOp5LMx7v99XsVjUH//xH2tjY0P//b//d/3N3/yNFhYW1Gg0LO3lUxf+3SmjlmRRO5vAKzWEjg3nUQ6vHGmUORwOrWoEONrzX0A3wuFxGXWpVNLu7q5+8IMf6NGjR4rFYlpdXZ2C6n3pMGtxWQZRLLA1BlGS9Z2CDwWBm32Ck+XTeMzrLK+MtB+pPR/tcj/fDqHdbiubzdragdSRvgK5CgTGTUOr1aoCgYClwSCYYvBJhXBP0kWBQMCeC1nNZDJqt9smdzgdvm0ETg9pAOaS/QQixF6BdD4cDi2FBqeE50V2cSBJ5YH6IH/MJTLJfr+4uFCz2bS0II5sIpEwh4VUM9E68z0ajax4gbmiyAHEiX/DA4xGo9YMlDQqex0UBAQyGo0aurC4uGj/9siFN1QUBjAoysDx8w07v+gxt0VzW3QVbdHnHkUUDodVLBatRLVararZbKpUKpliJILmoVlMHgIFhIf8/vvvq9Pp6ODgQLu7u/ZZvNNkMqnNzU3FYjG99957WlhY0MbGhk5PTzUcDi2tcufOHQWDQf34xz/WzZs3tb29rZcvX+rFixdKp9M6OjrS1taWstms5e4rlYpKpZIePnyonZ0dHR4e6pNPPtFbb72l58+fGxmYaJ4JZWEQRgQUT5eURigUsvPf8LTxoL2Q+8VBiXIPruuJiAiVT2P5CI9nICXkK7gCgYC+8Y1v6ObNm/qP//E/6qc//amleIhC2NRExeFw2Err4R/552HMRlQIN4a+2+1a08eFhQUjapMKoBGp30QeOTk/P9cvfvEL/cVf/IUePnyoTCajlZWVqfQXkDSK5U28hS9i8Gy+mzSORDabtXYMOC/I39LSkhnJWVIuKAgpEeSLCjeI5qAbRJWgO+Fw2K4fCEwqrjC+s3wZ+GYoXG8AcO7oKcb+4PupVMo4cJLsXnA/6vX6FJGW90SGms2mRqORfU+apGi9g0qaznOXeFaMD/PLfpXGUTTnS0rTpeqlUsmco0KhYPfDiWL4vbK0tKRKpWLROE4y0TARMmRiiPSkWpFr0A9SMKwvrSqYo1arZdwunDDWhPcFtSQd2mg0tLy8bO9ATzqezV/jMoy5LZrboqtoi96Y5IcXEgqFlEqltLy8rGKxqGw2awoBqJAFw/NFgCWZYhwOx2Ta999/XycnJ9rd3bV+R2yIwWCgUqmkTz/9VA8fPtTa2poJ86tXryxCef/997W5uanDw0PjhfzsZz/T7u6uGbdoNGqcAY6YWFxc1PLysvb29vTpp5/qH/2jf6S9vT2Fw2GLXPB2WXyE0y84wo+S9AKZSCSsBxAGE+FmLnwFmr8HQuTz0F6IMQ5496RR+NtDtz5iGo1GKhaL+nf/7t/pH/7Df6jBYGDHU9AuAAiYZ4PY6dfUw9s+SvKb3r9rMplUOp02Iwwxsd/va3193c5b4ztsPHgJp6en+vjjj/X48WMlEgltbGxYywOMmofDvaG7LIO5Yp698oB3Q0PSxcVFO04HXge8CmQFfhAKxitUHBWQNNIVyDXoFk4IxHPmHYXk17xarU45fiBW3W5XlUrFkCyugSOBU4QDU6/XdXp6OlUhGI/Hlc/nJU2QNIwkz89cgIhx1AsVmThd8GrYkzSdRBHCGcPJ4T1Go5EVGECsv7i4MC4LDW1LpZLxs+BdkQaTZKhkMBi0Sk2caojXRPqkiePx+GdaSfCHPQBqQduI1dXVqSaZfBdOF/sInRuLxUxn44QuLS2ZISUV7NuKYEwuy5jborktuoq26I0IGDC/NI6kOBCYKPv09NQUEJ6vf3GfAgEKzOVy5sVzBAhIAAKTyWR0dnamZ8+e2WaoVCpTzzYajVQqlbS3t6cbN24omUyqWq0qHA4rm83acR2S9OrVKzu3Dg/1y1/+su7fv6/l5WX93b/7d/XixQvdvn1bv/zlL9XvTxrd4dkijLw/88I74mlLUjqdNg4PAuSJjUS+dOpGQD2qgBB5TxzhBUpFCL2X7omZPhqE8L26uqp/+2//rc7OzvSLX/zCeCgoZwSczdhut6eiHg/rexTBbwS4CjyDj5ioJsrlclpbW7PjbbgWqRpp3M38xYsXevnypeXZqRIE5qWXDWkFSZeqeosB58tv1IuLC3NofGUQ8kCFD/MHoR2Fzjp5xeQj3VBoQsr3aIonofv0Jmkz5he0B5I48uZTgJKmuDgQlFHkPN/Z2ZkKhYI1FmWtQekwoqTBer2eEomEVRB6LgypQGlymDKOLDLKNXFQu92ucaB8pAviFwqFjKuH/mJuOLWgUqlYBSZziOHD6OAos8YgU91uV/V63TgrtIDw3BsMpW8BwvFRqVTKOudLMoSSqlTmvdVqWWorl8uZzOFoSRODtL+/r7W1NSuQkGTOMutwWcbcFs1t0VW0RW9EwF6+fKlSqWReaTQaVTqd1vLyspaXl23To5B9ntgreBadyOPFixdTnWxnPWcWK51Oq16v6+DgQMFgUFtbWwbBOIk4fgAAOgBJREFU379/X41GQ8ViUZVKRY8fP9bOzo41bgQeBv6HMFmr1VSv17W9va07d+7o448/1urqqo6PjzUYDKxrMULqc908G8/H5vb56EhkfNwL3Br4PxhF4M90Om09kjAA3EeSCbInQvt7zUYdbBw4MTwf94RDMhyOj2P51//6X2tnZ8e4IKREms2mut2uvT8C7yMOHxV54fcbjPXm/1wDXlEymdT6+rqtj38/aWwIjo6OdHR0ZORVOETeSfDoDfN82RqxBgIB6+juOUEYUUjP/f64EehgMDBuCqkhz20BCQKi56xGyuJxuojiUIgoSsjZkmwekRvgdE9InVW0KBcqp1KplCE+3hnB6QgEAlNInSSD+QOBgBUmSJPUIxA+cuFTLvQ14mgk74gGAgFL6XpCLMoRJ4m9AhqG4UKnka6AA9JqtaxJLZVyFxcXxucjFeX3udcZyDlrj1yMRiNrKgnSiN4MBse9iUi9ptNpQzDZd+iHcDhsPdCI9Em9sl7SpH/TaDTSzs7OlJ7xRveyVUHObdHcFl1FW/TGHfarX/1KL1++VKPRsMZ8mUzG+CmeI+AXbdZg8HtSE9VqVfV6Xb/4xS9MsFBMeIykSWq1mvWsASIkIh+NRioUCmo0Gjo6OjI4HwJxp9NRrVZTLBZTs9k0xZlMJrW4uKjt7W2dnJzo8ePHev/99zUYDPT2228b3I2CRoiItoPBoKVYpEk1V7fbneLX+PJ4hJ+F4j09euEjCQ+dI8z829+ba7ABfKUGz+55M4xr167p3/ybf2PpFcrpSdNks9mptfTwPkLtCZn8n43mIVx+Tz+qcDhsa0VJOAqS3H273dbx8bF2d3cVi8VM4Jk3DL9vR4AR8u95WUYwGFSpVFKlUjE5qtVqZuhJPyLbpIOkcRTrERwUCs6cNCH6e4WIIwZ/CzmUJpWFIFWsledggND4a+K8wFkLBALmWILgcF4ja4mSQoFGo1Hjg4EGMAfoAKB7nEzQm3B43CEfxxTjKckqsYhI2f8gF9FoVPl8XuFweKrCj0jWOyJc49GjRzo6OrJ5gU/CHqX6kPMdIQufnZ2p3W7bHHH9Xq9nxg5+HTwdom5JRqrmGCZfKcbeBr1gb6EzQNN8S5LRaGRr5Ise/JoGg0E7rN2jc5dhzG3R3BZdRVv0RgesVCrp4OBApVLJokQi62QyqUwmY9Agi4Uy9N4o3inRANyFYrFoSpS0AYoMxYoAQTQG4qcaKZFImOCfnJwok8moWCxaM7TT01PVajUtLi7qxYsXNkGFQkFbW1vq9/v6m7/5G4v26dGCEPEMCA0C5UtwWSiEGgWG0INKRKNRI1QyRwiWNCE9SnrtfM7O42z/klmEwS++L5NHcH/v935Pf/zHfzzFt8HwJxIJM7z8juv5Z/K/4zrMjaTPKD8MM716PJzN90lZvXjxQoeHh5a2QeGQksHIelnxkPxlGShRHKzZ1gsoCRQfigLEpl6vq91uGwncp2JIj4EyYYj8GkWjUdVqNQWD42N3QAdIRcFbIA1BxNtoNKa66MNnYg/QPqPZbKrVatnnUWYoOPhUQPOgR5wniUFk79N7qdvtTjWODIfDKpVKtpdA3Nh7IIE4p5y7SXsJeG+kB9vttiFVOEocL8Jnt7a2tL6+rkQiYc4rsiqNHcjj42NT6vyMdNFgMLB1BhX0KF8gELCquFQqZUUM7GcfZXPPaDRqqFmv11O9Xrf5Io3kEcZer2ekcZxE9rZ34BgUPlymMbdFc1t0FW3RG3/b6XR0fHysk5OTKW4EXbUpoyYy92N2Afi71WqpWq0aXOujPCLDarVqk8+kx+NxU/7A8a1WS7u7uyoUCkaoo1Q+Fospl8vp9u3bOjs7MzJuOp02eBPDOBqNdHBwoLW1NatqkCaN5Tw0jzeNcvXoAUaNCIFFZvPD7QCG5fdeQXBtohzmcVbgvZDx89nP+eE9e6KUYDCof/yP/7Fu3bo1tTlBY7iGJzjOPgM/81CwNH0mIFE5Sm1tbU3Xr1+3w2uRF67d6/V0cnJihs1XfOE0gOxgRH2q7bINzmFDGeBwjUYjcyxwhDw5FC5Ur9ez6qlAIGAb3nfH9tEhc+E7O2cyGbsu/AlJ5mwMh0OD5OFJzF6P/kpLS0v2BxSmVqvZ94hiQV28goYQTm+sWq1mlZhEjjgIpPvYQ/B2eC7K93kHaVItFw6HrRknqFgikTDEKRaLGXIHsuSNFVw9j2DhRDLn5XLZ3hEHkP2byWRMPkk1obThKqE/WWueHWfXO1PD4dA4KhjW0Whk/8dJBh06OTmxKq/z83PF43FDMXBekQlOHGCf+8OYL8uY26K5LeK7fi3/X7dFb3TAgsGgnXcEjwDhXFhYmOqn8rrhPVW/wQ8PDxWJROxsNiIOuCi+D4g0RhDoPURZN4q6Vqvp5ORE+XzezmAjskBZplIpNRoNOy9sZ2dHknR0dKSnT59aJcONGzdsIzDJkixSAOJkYfyxLcFg0CrY/EKQTvGRBgjErCC9Tlj9PHrBQlmzMfzvZ/Pis/fg98FgUJubm/on/+Sf2NxiKL2xnvXifYTu3wv58BAxxleSUqmUNjY2dO3aNW1vb1vPJ76HUms2m9rb27Ou7cy7j9iYfzYTCsVHVpdlYNyp8qMBINwLKuN4l3a7rUqlYgqc6L7RaEga82EowSeNeXFxoWq1av1tMCDIMfuK0e12DRXzSEmn0zEkCeXYaDSMdyTJHBGfZoDIDYrH/uSPNFGew+GYaJvJZGwPISOsOdfDMcFBDAaDxhXxRhOFR2oGjh1EZxy4brdr1W58x3NTvM5ij5HSSSaTtm/i8bhu375tzgoDx4zjj+BwgcLBwcPhxDBEIhE7HBqC9mg0Mu4az4sjlc1mLU2KPpZkDu/GxoahB6PRyJ59OJz0ZSO6x0B5w4NMXJYxt0VzW3QVbdEbHTCvUIFmPc+AiOBvg9m8J+2JcdFo1CJEruVL73kxvh+Px7W6umrkPI7viEQi1h9kb29v6jwmBB7FirEAZu52u8pkMlpeXlatVlOtVlM4HNbLly8tkocb4sucJZmCx2giHGxGPGPSOSg2IgoPT3pCKBvIw58eWvUCPCvIHjb1v5+FVL1A8GwffPCBnQFH6X08HrfUB8bLE1pfBzHP3hvYOBAIKJ/P69q1a1pbWzPkgfnwm6jT6Wh/f986JXNdIg2iPngF0iQS5Do+SroMIxKJWOohmUwaL4f9w+bFOEYiEWWzWa2srFg/JsrWQYk4Zkia8C5yuZzNo0e0cGRarZbxkzw3g4ajoDk4hnCGEomEHVSLI+hJttK4spDO8cg9zQ0xBtLY2YHH0+v1DGlhT8Hj4v6ZTMb0xyzBmv+jBzxySHsMjA/vij5An5GmgBdGx3+vtzw6xbNiRCVZqT/n1vX7fZXLZYvsuR7pRpA4dCgHgzPHOL0YX9JQoGwM9iMNJeHz8S7MFdW0OIHoQlJoXIt7sY9pfHkZxtwWzW3RVbRFb8TJWNzz83M7SJaIFyKqh2a958mGQbEzEaFQSNevX9cPfvADW2wmuVKp2HXwQjudjm7cuKFCoaBarWZeKWmdWCxmJ72jMDjOpNPpKJfLGaGQVAedgYfDod5//301Gg0lk0mdnJyoVCopmUyach2NRsbL8YvOexJFYzDYpGwAvGI2vxcWL0A+6vaRqB9+k0kTyJjrz24OrucVDz/D8C8tLentt9/W17/+db148ULBYHDqeBeEya8pz+ivxWblD8pHGkdtOzs7un79uh0azdyBzrBBGo2GXrx4oVKpNAW7o3xYNxwIhN5vzsvGASNSZx4lWYQHwgEaAu+L1gV0Tk+n0xYNsgb5fN6UOukmL3N+32UyGfs5ChASP526vSx64i0NWJF1CNrn5+eGzuHweTmhG7uXWYyeJ4L7Um30CvJBzzOug66RZM/tnxkHyVczzkbBzDHvT9oOQ4U80pOMg4DhStHri/mgWpPrpdNpQy+lCdcE7og3Bp4kz9yRctnb2zOSOXqYNDYtE5hL9ivzG4uNj9vpdrsqFAqmZ9mf2WzWnO9kMmmoJUgKacrLMua2aG6LrqIt+lxLxRlJXpGywMDePhr2+eLXwZDSmFC5v79vn43H4ybQeOQcNRGJRHTv3j11Oh2dnJxMkRLJ+6MsWaBGo6F+f3xSOYajUqnYokUiEW1uburo6EhLS0t6//339fu///tqt9v6+te/rrffftsiRWlyYrz3Zn1JbzQaVTKZtBPQSTFgUL1QStNQqhd4zyvwxhrFwe/4HgLmhXA2OvGGh+/yfUkm2F/72te0uLhoxGee1/eQ8n/7e7GODP8ZeAe5XM7I1Fyf6/k5LZVKqlarJkt8xgsz0SlrCWcIpXKZ+hdJMpQGRQPHB9lEQfDsIDVE46QvMb4YaP5PqgsSPekK9gXcIJSRP26GlNWsQ8G6+D5eGD8MfzKZtBQWA0TH9+yBkA7/inMQWbtoNGppQeSZ5zw4OFCj0VCr1ZqqziMVd35+bsRXnoMGqKAFNKWlSz17FCVLCmpWHpEpadLtH0TSk45JHUqy9Ony8rI5BPzt0Qa+iwPF9VHkgUDA2issLCyY8YaPhHMEwkXbEPYIBRqgj8Ph0LhndMtn7tGnHCrOCQV+XS/DmNuiuS26arboc5liwJG+DJuHALpHOLzAM6l+4XhozvAi6uYoDe8VS2Pl/8EHH5gCLpfLisfjBk2iOOEwsIGobKpWq9a5enNz087bG43GRMdisah+v6/V1VXdvn1bP/jBD7S7u6v9/X3rsHx8fDzFZeE+Pr+7uLiobDarXC5nAo0BAd70QsnmniUjeuFFYHwkx7WZYyByn+bwwuj/+CgRgeY9+v2+3n77bW1vb+tXv/rVFD8GxITN8zoYenYgoPw+Ho/b8SFcDxkhAhkOh6rVajo8PFSr1TLlx3uh0OhrhDLzCEggEDDOxWUaKGVQH2ncMBN5Yo+FQiHjl1QqFeuYjcNBLypJpli9QQdhAQnjiBvmmnUlVcL3fCTJmqGAac4K4d4jJL6twcnJiTkmwWDQFBwEVVIKcLaGw6GlxpAX9IgvLKBqMxKJqFwu2/wEAuPzKaWJElxcXDRHcXl52VIDdMeHKAtS1ev1tLy8bHMCwgCiCDImjfciFZWSzInk3UKhkCFj3M8bSlJ+vrKVCj4G0TPOmDdqXA854v+kY/znmQ/WHvTu/Pzc9AX7iOazni+HQ0kRw2UZc1s0t0VXzRb9VhwwD/FR4opC91AcE+EVh1cgfgE8XwOSIRMVDAaVzWa1vLysg4MD3b9/X6PRyPqB8FkUj99QTCSR+/Pnz3V6eqqdnR1tb2+bUn327Jk+/fRThUIhvfPOO5JkUDF9PlDWXBuiJ/chtQT/hE2BwAJDo4i9QHON1835rJePEmBu/RrMrstsdDAbhXhlhPANh0OtrKzoxo0bCoVCphz8881Gj7PRB4ZgFnINBoMG6zMvbEDPSTg7O1OpVDK4He4DyIyP3KgW4nde5mYbT16GAQ+D94DbxN5gzkk7si5E1olEwlJYGHlkIhQKqV6vq16vq1wu21lnKFxksFar2RmAGGhkmGN9kAXPCwK9k2ToGsRy+BN8B94VPamkSfotEhk3EIXThcGUJuRYjgEilUZrCnQGzh48KBQ/8o9TgtPG3Pt0xPLy8hRCKMlQwk6nY4bT86VooyGNdQCVmxDtSQsTwQeDQTu2CEcTVAYUamVlxbqUzxp9aaLTQqGQte1YWFhQNps1nhj3Yz6RCzhmOO7M5+LiolWX0SoEY8H7t1otu8bfZtS+iDG3RXNbxLhKtuiNCJiPHphUlByNzDyczgTMwrySTGGwuVOplA4PD3V2dmb38Z41qZlSqaSFhQWL/vkM0ad/RkiFlMifnJxob29Ph4eHymQy2tjYUK1WU6PRsPt/+9vftuMjMpmMvva1r5nS5JR0FB1GzOeVEXpfLgxfQJJFlb5E3wu4zxV7L9zPP/wH39PECzCL7vPQsxvHRyR+s3hD9dWvflU/+MEPDKHwvYo8OuKHvx7P7KFaKm94DyIHD4efnZ2pUqno4ODAkCEfUfGHdBNGFzQC+eO+GNjLMjzKRBoPQj6GAQPrkSgI96wdRpV5ZB6y2aytDU4b6+bTfiAEpLKksVNVr9dVLBa1sDA+MBunkC7crAWcK4/atdtt60m1trZmiB3rWq/XtbKyolAoZMeyYOQuLi6M3+RbHiCv/X7fkJlGo6FQaNxFHHk7PDw0R3BhYcGOCcIxQ7EzXxw34w8kZ958U1MOKc9ms8bhkWSkdV/+T2o0Go0ab0j6LBGataD5ZzabtXt5bhtIHfqAqjU/P6B6zWZT9XrdqmpbrZalWTn6CgQPvYGsIItcCzSSDu2cbHBZxtwWzW3RVbRFb3TAiIBniY9EtHiNfuG8tzoLd3oOBFFdNBqdIslJssZ2CI0k+z/3JpphcxClBgIBKw2n/B8hRICJeHO5nF68eKFPPvlEyWRSR0dHyufzarfbevvtt9XtdnXnzh212201Go0pboDvGwQS4COn8/PxIax0GsZz9sLjIV3++Lw6v0fZI/Ae/eD/HmadjTTYFHzGR5MIy2Aw0LvvvqtUKmVcHIygj65nhXv2+RmsDXPC9WahbKIIYH3WeRa25nNe4FECKFM2MRHOZRn0s8JpwokhXUYqDzJ2p9Oxg3JpCUE6MhaLqdVqKZlMqtPpWMTPvpDGcoGB9e0J2MPB4OTwau6NbJCe9HubdB0yDHLAmuBcIPPworrd7tQBt9lsVq1WS+1227hhjUbDuBjcC50jybhZpJsajYad5UgDWiLbTCZjxhUDSXd+DA8OaKVSUSqV+oxTCRKEfvHFCfCPUMo40f4kA+9EcSSSb3yK0UYufIQMN0+aTuHgKHJuJgYQZ4p+ar7lBgii590gG8HgpNM5uhjUMhKJaGVlZWoNLsOY26K5LbqKtuhzOWBwQSiL5oF8FQ+Tg3fsF4qH9pMSDAbtJHkUBorQX5dyan90B/wFFiORSNhE0ZCQ/kLhcFirq6umYDnMFhj+5s2bCgQC+vDDD6ea50WjUe3t7alarer4+Fj9fl/5fF6ZTEadTkf1en2K5OpJoESvKC/K0yFpkiv284hCZkPhsXshQ0j4HgLsBc5H/CjtWegXYfepB+65vb2tnZ0di+hZR3gNPIPPxXNP/1lpoqz4Hbl0/y44JL1eT5VKxVJAzCG/BzkAaSFF5FNLDPLwl2n4dYJUT0qIiBWl7Z2FVqtlpHO6LLOvOBOP/RkMBlWr1WzdSI+NRiPVajWl02lTHKSsUBIQu0Gi+HkgEDAHAicSOcYBozUFJflUDHI/YH6M5XA4VLFY1HA4tHdDPuFSwckJhUKWpkkmk5aGBHWQJlWTOIggOszBrM5BbnBo0SN0BpdkiBuGGp2DIgeZon0EfDuqUuEFMd98r1QqaXl52eSZ1BX3WFpasjYh8Xjc1ph0NdfESWc+6GHkI27Sizi2NNFlXnG4cBowbPCgWJ/LNOa2aG6LrpoteiMHzBPzKMn2+dxoNGoKkRd8ncfroWBp3DcnHo8bvEgUyALAj0BxcxiuV8woEKJjonAi0Vqtprt376pcLiuXy2lpaUnlctm81IODAz158kSrq6u6deuWBoOBcTLC4fDU+Wi9Xk/7+/va39+3tEw4PH2eFAaE96afENEZKQmen5+h0GehXi/grxNeP6dEYPwbBYQS8pCovwaRIr+PRqP6vd/7vSlCJGvG//kswo+MeLjX8yHg/rx8+VLHx8eq1+uWOmDjQdBGxiiPp/8S0T9dronk2BQ+D891L9NgrpCVWf4C8+DJ575qjp9D9mW+/dE4Hu1CZonQOUSWZqL0BJLG0Ty/w7BALB+NRuakEOlB6PX9taTxeZVra2sG52O8kBmQKThQGFOI8aQ0z87OlE6nzTng/eg9xjOQSsDRQFGCJGJciPaZb/5PgQJEas/j4SzLdrutwWCgTqdjqVm4bsx3o9EwIy2NjRx9peCH8b6+xxlrRfqK+ffIFVG7Xx8UPt3VI5GIpV5Zb56H/REKhYwX5tFR0lne0HIIN7y2yzLmtmhui66iLXojAgbZE65Hs9k0BUIUGIvFTIGyGAw/wf7/9NtBmBGufD5v/Y7o9O2hUyB9lEOn07EcbiAw7q1y69YtVSoVdbtdpVIppVIp/eY3v9Hf//t/X6urqxYFcghrOp3Wu+++a6fcf//737f8MHAxBgTDOBwO7R0waD4HjBcdi8UsKvE5ZC/gXnhn4du/bfB7FKj3/KXJOWHMq4/+QCIYGElprOS+9rWv6Sc/+YnxbQaDgfUq8s/vn90/MxGiNIkAUDKVSkWFQkHXrl2bilbb7bZF+/AHmHcUGXIC4oLRRWH6HlQ4BZdlsBY+6uJ5iURZf/YF6SgcDt/dnjXg2BTQLF/xxxE9o9FI6+vrNpd+7VFe7XbbUp7RaNSquVAgGBscMhwAZK/ZbJqzQCTqI1UMDQ4krRcGg4EODw8tlQg6iKPSbDZ1dHRkLRhwnnDe6K2G8eh2u4ZCIEtwqIh6UcpcAy4aTgt/JxIJczIxXMhlsVg05QyCQjVhvV63tcKQoMQ9P4dImvn1JHzeyRtxPnt2dmbOHohYLBYzJASOUqfTMc4b8gKiBYKKjLFOOF/hcNjW+bKMuS2a26KraIs+twpyFmL0XAaiDhQB3u+sh+y9aBTOLGcFMmqlUtHh4aHBvXiunogMbM5iSpP+OclkUqenp3Y+3I0bNzQajfS//tf/0ne/+109fPjQYNqDgwM9ffpUvV5Pf+/v/T2LRomyuA8L62FtXw7sny8UCqlUKhlRExKx99qlCfzqhcj/exa69NHb7P/9H//52Ry+R178z7wDcO3aNa2vr+vs7ExHR0d69eqVDg4OdHx8bJUhpD+IHnxlCJuQahM2ynA4tM7o3tBwKDNCjSPR6/VMWXj0hlYL9ALiGbzAk1K4LIN042AwmDryAmOJ7GLkh8OhdVcnPUgU7OfXOwcQfr0MZbNZO2Q2m82aYsGIgW7NdoL2fJulpSVD73gXnh9nK5vNmuIlEsfZ4js+bcga0QbBR8mkR5Cxzc1NQ2QkWSoIxCsUClmBAcgO84QzChJFiwUvu+x3olrf+4qf1Wo1nZ6eKhwOW1Waj7QXFhascWQ8Hlej0VC73dbp6akdlE2K1lefSpMUTiQSMRI19ybNAcLFGaDo4GazaXuF45iGw/HZhPT6gpvnz8uUZA6ZJwnzHJKsUveyjLktmtuiq2iL3oiAef6CNIH+/I0YXtgREiacF+flObF+FlZG0Hw6gPwtkDll7KVSaYoUfHZ2pkwmo729PSMhJhIJ5XI5Xb9+XYeHh6rX6/rVr36lVCo1dcTKkydPNBgM9OMf/9igSPK9vDfpHoSYnLv3dvns4eGhRqPx+Ws0NUTQeV/miP97hY5QeuH29/C/n90YHvoFvsVQzubz2cgYvUgkolQqpXQ6rfv379tckvqAs8QcAGGjvJALohRy474ihihNGvN3IKSSCmu1WtavKBQKWZUd1V3BYNDkksiQUnuQBsqHL8tAqcDtAhkh3ba0tGTPnkgkrH0BCMvFxYU1DvVoBcR0EAvWge7aIB2RSMT4YRDgg8GgpeAwRDynNOHNsBeJIKn+kTSFqPk+YaBKyAJpMAzVcDg0RIO9wTOT4qS6kXQKThzX9aT3VqtlbRPYFxgj9o1vVgl/i0gag1ur1VQoFKb0HqlXf3xQJBJRtVq1NFE0GlU+n1etVrMDrjnzk/WHJI38Yvx8KwGeMZvNGkJI4QApN2lysgHnf45GI3OU0bfsPRBOuGroG2+IeU4cNIw/6eLLMOa2aG6LrqIteqMD5jc8PAgmhugKZeg9X+/NMrlsAOBZFCpGxMOFRKEoBp4F2BXFyWSSEiH6TSQSyufzCofHh59eu3ZNR0dHVlXxySefmBKKx+NqNpva3983xY8RAS1A4OBx0MwNpeyFs16v6+joyAQexYhgewjWf49/v27MfmYWuuXnfiMg+LwHyofr+Pw4a4TCyWQyOjo6UrvdVig0LnnGgJBC8igH/2Y+fcPPfr9v1X4QhuG/9Ho961/Fgc9EDKlUyng4vV7P+C7IGu8BQdajApfpDDtJpjRwUHxXd0nGI/HVXcgK0RcIked9YIDgnHQ6HaVSKesbhnIIhUKGwOHUlMtl45d4vhDDowyDwcC6pOPY8CzsC9+uAQPuW0KglKRJVSg6BG4NLRVwrPg8/+Y9j46OVCwW7RmTyaQ5GZJMDuD34MChO/i70Wgok8lYcQPPyFrxnv537D8cNdJREOUxNh4B5P3i8bjq9boR43FG2acoeY+wodOazabi8bjNNwYfuYGrVqvVtLa2ZnPjHTr/eeYDpIyKTP++l6mf3twWzW3RVbRFb3TA/CZGoHz1FN43xyzg4fpF8RuHKMMLl4c4icC8kqEixUc18CkgzIEoECnQrTscDuv09FTr6+v6gz/4Az148ED1el2FQsGMTqvV0pMnT6b6g/CeXhB5dhaT87+IUFHQT58+1dnZma5du2bNLfH+Z3PrPpJAIaJ4ZyFc5tJHdFyHPxhu/1kUBZvNG1U2IZE2n8tms5baQdhJo6CU2cTkwdkI2WzWWg9gYJaXlw3Gh7eEQAMpl8tlayQKn4ZIL5vN2iZACRFJ+TJwNthlG3CMhsOhGQuPNmEESHEg/3BycCC8ccCgE7HzO/YH98XwwCPCSEE6bjabdm2eh7VLJBKm8KQJSsVnMFI8c7PZVDKZtKjx/Pzcqr1A+YhC/T4AjWMPM1+8C9WJPEexWJxCLODX8Xn4aqBGoIDII99FzkajkbVfICU1i9TxOa9sI5GIVbhxFidzzs+lcRNcenXhcGLwJdlcMQ/szdFozFFqt9taXFy0+Q2FQiYbft1ZB3QfTner1TL9CwLKM6Kn0WGsPU1bL8uY26K5LbqKtuiNDhgb+HWnuKOg0+n0FJFTmpSozuZ5SaeUy2WrJkJx+MoWCIUotFgsZr9j0dgUTII0IbZ2u119+umn6vV6unbtmlqtlq5fv66FhQW9evXKDrh9/vy5fvnLXxrJOBabdA73cCnC6IUdTgkKezAY6OXLl3r27Jny+bwKhYIJD+8/C+V6TgZC/Lrh8+ezHAYP50qTiM0LNELCevicO5/lGQeDgVZWVnTt2jU9fvxYoVBIuVxOkgzBQSY6nY6tO2hMNpvVysqK1tbWtL29rVu3bimTyejFixdaWlqyLuX0gNrf39fBwYGOjo6sMi0YDFq0sbi4aEeioMxIOWAoPVnSp2ouy0gmk9anSRqfTZhKpcwhY+OCjOCogErB/aGNAmk39g6VcChq9gYVdBBPqVCUZOlOUDgQBB/ZD4djPhEyBqTPfuBnrAeoHC0dkD1v6ODrkFbj+XGSvNwuLS2Zk8l9pUnJPEe74FDwXhhB/u/bN6CD2APRaNTI8RjyTqdjDiFRLo1PQRAjkYhVw4HKeIOEUxyJRIxLxfck2TuTGmR/MlcYFPpJDYdDc/JwojGUNLTFWSTdIsl4ebMpH3Q4c8i6QdwHWbwsY26L5rboKtqiNzpgRGQ0d0PpoqyA/bzn6wXfLxYPCmENg0LURXTuiY6kPUhh4OGSjuGz0oRL4fvZYHQoI06n0wqHw9rb21O5XFY+n1e1WtXe3t4U18KXyBMxkN9F6EltYOhOTk707NkzDYfjHib+aBdPavRzhEHgd7zbLPGRuUVB+8iF6/PHRx8+j89n/UbxwuE3XCKR0Pb2tp4+fWrVWH7zofSGw6ERlRFIzkqTpPfee087OzuGClBCPxyOOUflclkHBwd25lYkEjG0w/OAQAF4ZowFMDXNGVHOl3FwdAkyOxwOzSGZdbKAxTGs3iEhFZVMJlWtVk0hsaYgPb6KkipH1oyIjmiRSJs9ivFuNpvGraBdg08j+hQb+4Q1oJUE1+v1euZYIOMgNzgZ7DOMkDTh/pyfn1ulmDThmFxcXNgz9ft9cyhPTk4Uj8etOevZ2ZlFxrw3qAfIXq/Xs+736KBAYHwuZ7FYtIO2UfiQdSHmew4KOgfOXKFQsLWmaACHCocJ5ANOH1V+OFyDwWDqHE9SX75fF44hDgBOZTAY1OnpqTqdjgqFgjmskMtBcWgMfNmCmLktmtuiq2iL3uiAbW9vW4TKS/u0BuRColQv8AxPkMTTTqVSBiWjBIPBoHK5nAKBgKrVqikCBJEJ892Z/SIAvRI5ZjIZ1Wo1ffzxx2q320omk2bkyP1ms1nt7e1ZBIwXjbLz6Q3QgoWFBYta4cRUKhU9fPhQtVpN169f1/r6uhEePWLgvX2QCBSCF1Q/h7MRi4/iZoUe4fXzAncGIX2d0PvNyXXeeust/ehHP7K5xiD6PD7rCwowGIzPHDs4ONBXvvIVvfPOO4rH4zo9PVU0GlUqlbJ3LZVKevDggR4/fqyTkxMFg0GDl2mfAEkSw4BB4b40Gp2t6LlsxiMWi1kZu+ctMN8QoU9PTw0tIXrCAGAcIOnH43Hl83lDz2hqSrqKa/veYChz9gDDp+Z8N/ZsNmvP4lsl4ARi+H1qk+f0KR2Uu28uSpSaSCQMafC8stFozGFBN0iyI3O8MV5YWNDx8bFyuZw6nY7tq2w2a3uYSjPkFGePeS0UCrZXJNlB3u12W8HguCUBBhnkBaVMVE8Kln5cEIkLhYK9B/NA6pc54+Bv/h+JRGx9QCP9eZUe6fLpWZ8+Zd3YF+jERCJhBQSZTMaeByOPjp11Yr7oMbdFc1vEuEq26I0O2Nrami1YKBSyYz28kkYImGQ/vEfNxKJoJFn0glHy/TdQeEQqGAeiV19xgmB64ZFklVEnJyf61a9+pWvXrumdd97R2dmZdnd3rVrlxYsXU+RAmq7x/L7ShJQFE99oNHT//n2VSiWtra3p5s2br61I8cLF8NEAi/a67/A332ehuYcXWC/UQNeeW+Qjltk/jF6vp+3tbfP2SY15LoJHP1Kp1FSbBHgLGFPSOcC5nU5HDx480F/91V9pb29Pw+FQqVRK0oRnlMlklMlkNByOS4Y52iYWixnBEjQCwwYB87IN+nqRloMPRPqH8wn9nCYSCZ2cnFgn+EAgYJEZCAURGOuDTPg1RqYxVNJEMWBEiAI94d9HdNyX/YdTyF6GJH5+fm7rCJcDZyWRSBj3DGcCXgfP3u12dXBwYC0XqCgCIQPVQbbgifD+XIe042g0mupxRsrTI4WzvA32DXsMPhQOljRpvsi84piyh3x3dNIwrANcOPYVTinpYnQezgLIJagY1xwOh1Pyj7PFM7OWvFuv17PiDBxHdNEscrq0tHTpKonntmhui66iLXqjA9ZqtaxvEblmIncUXzKZNIWMsvFwJgLIdyAqctSHr/CYrZJAmIfDoUGJ5G1ZjGKxqMPDQ/tOJpNRpVIxoQyHw1pfX9fJyYmGw6GdAbe1taVHjx7pwYMHBkWSQvHVIb7clZQGG6xWq+nXv/61dnd3tbGxobt371rFkRduNrAXXg/JSjJDEA6HpwQ/EAhM5dKZD4wrhthzPVAmKGOMi99AoCH+OYBMA4Ex/+PmzZv61a9+ZZEm68x8sUY8G05CNBq1KpJ8Pm89ilBADx8+1J//+Z/r5cuXhgCwWeLxuB2QC4EYyBejRFNBEAFvMNlkl2nQ7yoej6vb7apWq1lKjChZmsgA85hIJAxOH41Glr7AwGOE4Yyxvt6ZIsqerSiMRCL2NykV1tI7I5IMJYhExu0XaDbJUTxLS0vWUNLvc4w6jh7Vj+wl7otsLi0taWNjQ0+fPp06jiWVSpmDl8vlzLnBQEEuxxFCueJE+grJUChk9yTFigNCNWW/3586qoiS8uFwaDqQVB/fXVhYUDqdVqlUkiQ7bomzLrkOezcWi9lZjoFAwJ6l2+2aw4djheynUin1ej2lUimLwlH8kgzB8Vw/f+B7pVJRNps1PhUkcGSq1WoplUqZk3uZ9tHcFs1t0VW0RW90wKgCyGQyUyWsEM08l8NDvSyYz+V62BPlwFEfHhr2kToRLdG0h1zpvg28y//T6bQWFxdVKpWUy+UsjUD10NbWlh4+fKhyuWyC0mg0jMjLxCEYTDA9SYhE9/b29OLFC52fn+vOnTva2dlRKpUype8jrtlIA2FhoyJ0XgD9JpEmELeHarkGaQeEn9SKn0OUM8LFhuAzfg2k8Ua9fv26PvzwQ+PwcC3/GdaeZyAFQ2qEOez3+3r27Jnu37+vR48eaW9vz4Scz8LhSafTU20bPL8hmUxa92mM5Wg06fM0i/ZchsF5cMhUs9lUoVCwn1OVw9zSm0uSISOSTNEjV0RfkqwqiIgXY08vMeQSJGswGFg6r1arKZfLTSkWUCcQGkioy8vLlv4CBUMn0BfLK0acLI848PnT01M76sUf75HP581xBPng+/DlAoGAGo2GRbdUPoJO0NfHI3LIsTTeh/QuY57RMyCV7Cnv7GGUSEXwO04P4AQC0oHc2/PT0DN8jrJ5adKig/Vlb3lkjGvgRKArQGPQA3wfY7W0tGQHuY9GI5M/SbZncWq8kbwMY26L5rboKtqiN/62Wq1al2sItDwEaQwWaHZx8Kz5txcECKZwDYAUSX2wIcjVEjHQrA6hJh+eSqUMFgQm9grv+PjY+gZFo1FtbW3pRz/6kUUTR0dHtlizaZtYLGaRTrlcVrVaValU0nA4VCaT0d27d1UsFg0FQJBeB7G+TqH5PDGC59MZKAnv4fvv+QUG8vXf9RGFTy39bfCvV1S3bt0yY+43sYfXuT/Kz3MyiAba7bYeP36sn/3sZ3ry5IlFhfTCQVYSiYSy2ax1gKcfC4cbY6h8VDcajSzFxxzOph++6BGJRCx9FYlElMvlrF0DPJRYLGaoDREaDokk1et1raysSJKlIH25NsiJJNufIGeSzFFKJpOGTrFHeBbWHmcAZAXjACEcZTQajaacqmAwaIRgacKHQSbhhkmaQpna7bZFtoHA5LiXk5MT41agUIm6Z/kk7BGqQeFRcW8cN65Vq9VMf+GcwaMjheEPQmdQIeiNEg11cfr4fSAQsD5V6AZaUuAsg3JGo1E1Gg1LtSwtLalSqZgOY6+en5+bw4wx4Ll8s044Ln7/gxKx/jwnjgXEZRy2y7SP5rZobouuoi16owPWbDatgzaTQbRBJO6hXT95foFZCKI6vHX/cCwCcCQ/g6TIz/As+fzS0pK2trbU7XbVarUsRXJ2dqZms6lbt27pwYMHKpfL2tnZUbPZ1LVr1/Tq1Su9fPlyPAnhcT8V0hkILqmTg4MD824he25tbVk0AvTthc57/wgzf2bnizGrQOBpMMce7p2FjV+3qfw9EcZZwiPX8ZERG4wy3ufPn5tiAkr3aAlz6FsKUOJ9dHSk09NT/exnP9OzZ8+MKM2RNTgK8XhcKysrli6r1+ufOWaCrvEQjkEigH6JGnEALstAQVarVUWjUWUyGeOZwGVBrn00KE2ORmk0GgqHJ73BPGcF6Bz54OfwykiZZDKZqY77kLuReVAhr9Dq9bopPtaeFE0ikbAUaKlUUiqVMuMVCoWsv9loNCbUE40mk0nV6/XPpDGQISJkeGPIaK/XMwQHNAqEqtvtmhFEXuBCIds4tJFIxLgi0iSyZ4/BsyOFwD1AHJB9yPoLCwt2tBLoDA4OqUv0GlWr2Wx2KlUGaghxn5QTqSgf8bNGtDPh+xgHdDNVkzwXqVvmNR6PW2qv0WiYM9tsNs3ZuSxjbovmtugq2qLP7YR/enpqN/QwHB4lbfl91OsXkckFouR8LBQTgkSlCYsOcdZHAT5Kw8vk/LTT01M79X1zc1MnJyc6ODjQ8vKytra2tLe3Z5v1+PhYOzs7KpfLOj4+tqgTWJ+I0EP5hULBuAepVMrOl0JRo2Q9vO0FyAsgc8Ic+0jFC96sAvERAdfywopg+0jDbzL+ns3D++/yfZCIt956Sw8fPpwyZkRBGBm+742VJL148cLKrHd3d41HxOfg7oRCIXMIer2earWarTERbiaTsao3BpErPZfg2Xho+jIM0nd+LUllSJOO0vF4XOVyWZKMbEtjUjq2I2/sEWnc6BOlBDrEHgX18PwIojqaSMIjIpqEG+MRLS9nIC2kMpvNpobDoTmH7F3WeDAYqFgsmiNxenpqMkC1F+0QaHWB8yJNUnadTsfWNxwOm97pdDr2nOwLZBRHhufzfZwqlYqlhtA9XBt5gmjNmrGHZivgIPeSMgY147vSpIoTxw4UB4cK5IK1AwmbfQ+cAAw01bM8PyT7UChk7TJAtYbDyeHqw+HQ9Lp3zllrXyn7RY+5LZrboqtoi97ogMFLoa8Mh8z6iQLqJzL0C8fCIEB4j0wskxYOh6e6Y/tojxJyyG/0P+r1emZomJQnT55Yj5WdnR199NFH2t/f140bN5ROp63ajF4dKysrqlQqVoECUgCESfUDcDMK1ueKeWaUoRd4ruWFCUPo4Ukv2PybCMZHYT6l4If/GRsVYffESJ9ywch5h4C1AQUYDoe6ffu2AoGARfqSzDCxUdgAPvLq9/uqVCqW86f7O8/V6XTsCBiUB0RgDDrvzzlqXp76/b45Eb56DYV1mQYl52tra0bIB8Ghnw/8kEKhIGlyNiDGGoXNCIfDhnDR1FWS9YUajUZmBHzzVuazUqmYQiaS9tB5MBg0VAmnAocLnhn7GWeR6JjrgLogFxj0er0+ZSBIK8Dngvy6sLBgz4weIGrFyaAlB/dNp9PWpNYjbJ5cjbySpshkMlb1NxwOrfoJI4HzB8LAM/N5398sHo8rm81O7a+lpaUp8q53LD3S4g/1hXDN3qbajxYUNM4FzWQ9iMp9aga+EGgpaCPziKHv9XoqFApqtVo6Ozu7VEcRzW3R3BZdRVv0+na3bsHC4fF5cY1GQ41Gw6pwcrmc8vm8isWiKV/vAbNIQHNUIzx8+NB4EkyOV9IIciAwJo/W63Wr5IHnAnmYaq/9/X3dvHnTegGdnZ1pc3NTyWRSpVLJ+B/lcllPnz41Q/D8+XMzQl4pLiwsKJVKKZvNKp/PK5PJKJ1OK51OT1VRAIHOwro+2prNgXvh5g8clNkcOALl4eLZqMXnw9+Ub0bBzkZUREwIDgoaASoWi2bggdxJsXA/FJN/Z/+cwWDQOkozf9J4c+GADAbjw5BrtZpFEcFg0KrLKLmG78RhqXR6J8qalcHLMHAW6NtElRktCUAlaPYYDAbN+MHzwSEajUbGm5ImVY0+hYdx8lEalTqSrISaVEe73bb0lSRzfpBtaYLIwS1CN/Bsvn0Fac9Go2Gy3e/3jWgPWoNhgWsxGAwshdhqtQyVw1AhA5R/ewdWkvFsBoOBdbImCvXyga6ZreZEtn1qVxrrhFwuN5Wy9PuPZ6EQAMWNU0WzWI/Q4Uyh7JEB1lQa6wgMB0gl+5d3wTh4o+udORz30WhkupE0cqfTMQciGo0aj83PxWUZc1s0t0VX0Ra90QHjYpDQODkebzyTyWh9fV0rKytT+XcWFZjQVw4BN9L7hjRMIBAwRYGHGw6H1Wg0rNokHA4rm80aH4N8ea1WUzqd1ttvv63hcKjHjx9LkkX1HH6ay+W0v7+vFy9e2CSSPvDVDXi5RBxAkkTPrxM+3lmaHAXjYVkEDIPlBRQBRBhnF87zG4iYUbgYbP6efbbXRT0++phNi+GxMx/xeFybm5v2eyB/oj7mxPMVuC6Dc7fo+0SUAomVqJOqMJ4bvlQul7Mon75U9HA5Ozubmr9wOHypjlCRxvIAVycSiVgqDvQoGAwaMX8WuvYdzZlT0pUo63g8PkX0zmQy5ihRccXa0DEch4oqH64HouP3F0fisKch0xPFh8OTSjBknu8tLCxYE1qOXcIp8GlYnCrem/cNBoOmKHFmfBUnz8S8SON9v76+btwOqsp4dyoHId3ixID4cQ+qLtm3xWLRnGOegaa63IPn8foCdJMjbrLZ7NRnSZ+xRjjL3W5X+Xze9B17Fq4W6BqOpzeioDHICAgfOs4fHi1piucWCoW0vr5uTYEvw5jborktuoq26I0OmPeA8VbpMYOHBxnVe90MlEAoFLIqp42NDeOgUKqNECAsKDSUG523SX3wbL5fyfPnz3X9+nWFw2GdnJyo1+spmUxqZWVFnU5HBwcHdl0ijJ2dHX3lK19RIBAwWJmUDuXOCC/De/9s8lnI1UcaPJ9XCgierzTx0YgfbADPqWGevMDPRiavi3Bm4V8P0xOBs+m4bywW0/Xr1+0apDYQTh8lE9X7zUlaIJVKWSoOIwtiAFGSTca7LS0tWdRHeoo/rVbLUBJ/PE46nVaxWHyj0P+uB9V4QNw8X6vVmoL2eX94LERdS0tLhrL4JqPLy8tGBqW5q6SpOSeFCbLh+SLsY1KbRIfwIi4uLgx98s1eMeakDnA+fPqOjuSj0cgU3srKiqUXpbFsgUDQy4y+YrxTuVw2oiyKj+dNJBKG+LC3SKudn5+rVCpN7Q+OJcLZIc3jifOk9JhHvt9qtexZmAvWDP7HcDic4pNJsrQk6KA37I1Gw5o3ok896oJcS+Mqx0qlYnPd6XQsRU0UT7oqHo9bZR5H96Bz4dlxhA2OHBw2EITZjvJf9Jjborktuoq26HMbJvlJp6TWTxiQrV84BtwM4MJOp6Pd3V11Oh3jsEAw5roYJJQBcGA2m9Xa2podDcFEXlxc6OzsTIeHh0omk7p3755+/etfK5PJqFgs2hlcoAq9Xk/Hx8cW+a2uruqDDz7QRx99ZARPcuze00egvPB6mHdWyGb/RjARPB95+A00Cx8j6Mw3qIC/H4OfeUjYR/g+mvGwLc/kibootnA4rJ2dHXMK4LtgCEANEHIMDs+J4AeDQYNpSbtJ4+omb5x8moi1wOEYDMbN8Gq1mk5PTy3Ng3KkdBi06bIMDBpRO2R6n7YD5pbGjs36+rqVv/vjd5hXH8EPh8OpyjgcPhSJ72Bfq9WsqhI0ijlH3uBD4CiQqiTKp7IrEAhYZI8CJt2Ko8M6s/cg0CLTyEapVLIKLu41Go20tbU1lSIClRmNJgduwwnyzVaZF48o0GOLZ6WZJ4YJZxGnFYVMSgMkBcPLezUaDYt0eQcUO5wtWlrA20Jv4vjxb/ZkKBSy80NJm0mTtAoyj17GWHBg+PLyss09RgXnOJ1OT1U6YthHo5E1ZsWpu0xjbovmtuiq2aLPRcB8nvb8fHwgLsaCyaTHEYvGYKEQFHK3foGIFn3VlueQoJyy2azeeust6/Pjo81yuaxgMKiHDx9qe3tbKysrVtED8Y4yeEiaRJBPnz5Vr9fT9evX7cBdlDKL76ML76n7d571+vk3wsPnmA8iaJ9v94LK/XgO5vN1a+T/zG4EP/yz+8++Llryz53NZo3XwAbEMBBZksbyXASMHgoGpQO6Ui6XzdiCyDAHRCugHdyvUqno9PTUejXxeThVGNXLNGgQuLi4aBE01WoYd+YUlILPUZUjTRptgoaxPsgITgVyw96C0B0OjysHqbRkLYgUURakI3G2mF+cIxw+9iEKB2RImlQiEUn6FANGRZKlCzY2NqZShjw3aB2yxB4GpWO/su48w9LSkv0OZ3c4HCqbzVpqFP4NfA7Qn0gkYg4tfbMwsuxr2n4EAuNeX94p83NA+iIYnBxDFIvFlM/nDXUCRfCpLPZWNBo1vh9OALoDZ5b9xlriOLLG/X5fW1tbWltbM9lgHlgLb2ThpnHw+WUYc1s0t0XS1bNFgcsEM8/HfMzHfMzHfMzHfPz/YbwRAZuP+ZiP+ZiP+ZiP+ZiP/+/H3AGbj/mYj/mYj/mYj/n4HY+5AzYf8zEf8zEf8zEf8/E7HnMHbD7mYz7mYz7mYz7m43c85g7YfMzHfMzHfMzHfMzH73jMHbD5mI/5mI/5mI/5mI/f8fi/x65TeNe7s7wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplot(131), plt.imshow(img, \"gray\"), plt.title(\"Original Image\"), plt.axis(\"off\")\n",
    "plt.subplot(132), plt.imshow(np.log(1 + np.abs(DFT_img)), \"gray\"), plt.title(\"DFT Image\"), plt.axis(\"off\")\n",
    "plt.subplot(133), plt.imshow(np.abs(IDFT_img), \"gray\"), plt.title(\"IDFT Image\"), plt.axis(\"off\")\n",
    "plt.subplots_adjust(top=1.8, right=1.5)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
